Publications

Prof. Wujie Shi's homepage

Last update on September 1, 2006 

1.       A note on the solvability of groups(with Shiheng Li), Journal of Algebra, 304:1(2006), 278-285.

2.       A conjecture of Abe-Iiyori and finite orthogonal simple groups with Witt index $n$ $P\Omega^+_{2n}(q)$ , III (with Mingchun Xu), Southeast Asian Bulletin of Mathematics (2006) 30: 177– 188.

3.       Pure quantitative characterization of linear groups over the binary field (with Linhong Wang and Shaoheng Wang), Frontiers of Mathematics in China, 1: 2(2006), 272-280.

4.       Finite groups with conjugacy classes number one greater than its same order classes number (with Xianglin Du), Comm. in Algebra, 34(2006), 1345-1359.

5.       The largest lengths of conjugate classes and the Sylow subgroups of finite groups (with He Liguo),  Archiv der Mathematik, 86(2006), 1-6.

6.       A new classification of finite simple groups (with S. Lipschutz), The Mathematical Foundation of Informatics, Proceeding of the Conference (MFI '99), 173-182, 2005.

7.       On 7-and 8-decomposable finite groups (with A. R. Ashrafi), Math. Slovaca, 55:3 (2005), 253- 262.

8.       Finite groups whose conjugacy class graphs have few vertices (with A. Moreto and Guohua Qian), Archiv der Mathematik, 85(2005), 101-107.

9.       On the noncommuting graph associated with a finite group (with A.R. Moghaddamfar, W. Zhou and A.R. Zokayi), Siberian Math. J. (SCI), 46:2(2005), 325 – 332.

10.    Characterization of non-nilpotent groups with two irreducible character degrees (with M. Bianchi, A. Gillio Berta Mauri, M. Herzog and Guohua Qian), Journal of Algebra, 284(2005), 326-332.

11.    Pure quantitative characterization of linear groups over the binary field (with Linhong Wang and Shaoheng Wang), Selected Publications of Chinese Universities-Mathematics, 1(2005), 11-17.

12.    Recognition of the finite simple groups $F_4(2^m)$ by spectrum (with H.P. Cao, G.Y. Chen, M.A. Grechkoseeva, V.D. Mazurov and A.V. Vasil’ev), Siberian Math. J., 45:6 (2004), 1031- 1035.

13.    Conjugacy classes outside a normal subgroup (with Guohua Qian and Xingzhong You), Comm. in Algebra,  32:12(2004), 4809-4820.

14.    The characterization of $PGL(2, p)$ by its element orders (with A.R. Moghaddamfar), Comm. in Algebra, 32:9(2004), 3327-3338.

15.    The largest character degree and the Sylow subgroups of finite groups (with Guahua Qian), Journal of Algebra, 277:1(2004), 165-171.

16.    A note on character degrees of finite groups (with Guohua Qian ), J. Group Theory, 7:2 (2004),187-196.

17.    Pure quantitative characterization of finite simple groups $^2D_n(q)$ and $D_l(q)$ ($l$ odd) (with Mingchun Xu), Algebra Colloquium, 10:3(2003), 427-443.

18.    Pure quantitative characterization of linear groups over the binary field (with Linhong Wang and Shaoheng Wang), Chinese Annals of Mathematics 24A: 6 (2003), 675-682 [ in Chinese].  

19.    A characterization of U3(9), J. Southwest China Normal University, 27:5(2002).633-636 [ in Chinese].

20.    The quantitative property of finite groups, Proceedings of the Thirteenth Australasian Workshop on Combinatorial Algorithms (Edited by: Elizabeth Billington, Diane Donovan and Abodollah Khodkar), University of Queensland, Queensland, 2002, 231-244.

21.    The number of isomorphism classes of finite groups with given element orders (with Huiwen Deng and Maria Silvia Lucido), Algebra i logika, 41:1(2002), 70-82 [in Russian]; Algebra and Logic [in English], 41:1(2002), 39-46.

22.    Pure quantitative characterization of finite projective special unitary groups (with Hongping Cao), Science in China(A), 32:3 (2002), 245-254 [in Chinese]; 32:6(2002), 761-772 [in English].

23.    Finite nonsolvable groups with few composite numbers in the set of element orders (with Huiwen Deng and Zhang Jian), J. Southwest China Normal University, 26:5(2001), 493-502.

24.    A note on p-nilpotence of finite groups, Journal of Algebra, 241:2(2001), 435-436.

25.    Note on a question of Reinhold Baer on pregroups (with S. Lipschutz), Publ. Inst. Math. (Beograd) (N.S.) 68 (82) (2000), 53-58.

26.    A characterization of $U_3(2^n)$ by their element ordersJ. Southwest China Normal University, 25:4 (2000), 353-360.

27.    A class of irrecognizable infinite groups (with Huiwen Deng), J. Southwest China Normal University, 25:4 (2000), 361-363.

28.    A new classification of groups and its application, Chinese Science Abstract, 662000[in Chinese].

29.    The characterization of finite simple groups with no elements of order six by their element orders (with Jianbei An), Comm. in Algebra, 28:7(2000).

30.    Finite groups whose element orders do not exceed twenty (with S. Lipschutz), Progress in Natural Science, 10:1(2000).

31.    The characterization of Ree groups $^2F_4(q)$ by their element orders (with Huiwen Deng), Journal of Algebra, 217:1(1999).

32.    Groups whose elements have given orders, Groups St Andrews 1997 in Bath, II, (with V.D. Mazurov), London Math. Soc. Lecture Note Ser. 261, Cambridge University Press 1999.

33.    Finite groups defined by the sets of their elememt orders, Proc. of the Second Asian Math. Conf. (AMC 95), World Scientific 1998.

34.    Quotient of the group order and the number of conjugacy classes (wtth Yunrui Xiao), Southeast Asian Bulletin of Math., 22:3(1998)

35.    A note to the characterization of sporadic simple groups (with V.D. Mazurov), Algebra Colloq., 5:3 (1998).

36.    A simplicity criterion for finite groups (with H.W. Deng), Journal of Algebra, 191:1 (1997).

37.    Groups whose elements have given orders, Chinese Science Bull., 42:16 (1997) [in Chinese], 42:21(1997) [in English].

38.    A characterization of some orthogonal groups (with C.Y. Tang), Progress in Natural Science, 7:2 (1997) [in Chinese], 7:2(1997) [in English].

39.    Finite groups defined by the sets of their element orders, Proceeding of the Second Asian Mathematical Conference 1995. (Abstract), 1998 ; J. Southwest China Normal University, 22:5(1997). [in Chniese]

40.    The quantitative structure of groups and related topics, Group Theory in China, Science Press/Kluwel Academic Publishers, 1996.

41.    Structure of finite groups (with Z.M. Chen and G.Y. Chen), Rings, Groups, and Algebras, Lecture Notes in Pure and Appl. Math. 181(1996).

42.    More on the set of element orders in finite groups (with N. Chigira), Chinese Science Bull.(Abstract), 41:15(1996), [in English]; 41:21(1996)[in Chinese];  Northeast. Math. J. 12:3(1996).

43.    Two unsolved new problems in group theory, J. Southwest China Normal University, 21: Suppl. 1(1996) [in Chinese].

44.    Factorial groups (with M. Deaconescu), Algebra Colloquium, 2:4(1995).

45.    The quantitative characterization of finite simple groups, Academic periodical abstracts of China, 1:2(1995) [in Chinese].

46.    Finite groups all of whose element orders are prime power except one (with T.L. Huang), J. Southwest China Normal University, 20:6(1995) [in Chinese].

47.    The characterization of the sporadic simple groups by their element orders, Algebra Colloquium, 1:2(1994).

48.    The characterization of $PSL(2, q)$ by its element orders (with R. Brandl), Journal of Algebra, 163:1(1994).

49.    A characterization of some alternating and symmetric groups (with C.E. Praeger), Comm. in Algebra, 22:5(1994).

50.    Finite groups whose proper subgroup orders are consecutive integers, J. Math. Res. & Exposition, 14:2(1994).

51.    Finite groups whose element orders do not exceed 12, J. Southwest China Normal University, 19:4(1994).

52.    The pure quantitative characterization of finite simple groups (I), Progress in Natural Science, 3:3(1993)[in Chinese], 4:3(1994)[in English].

53.    A characterization of finite simple group with abelian Sylow 2-subgroups (with R. Brandl), Ricerche di Matematica, 42:1(1993).

54.    On the order of finite simple groups, Chinese Science Bull. 38:4(1993) [in Chinese].

55.    A class of special finite groups, Northeast. Math. J., 9:1(1993).

56.    Corrigendum and addendum to “ Classification of finite groups with all elements of prime order”(with K.N. Cheng, M. Deaconescu and M.L. Lang), Proc. Amer. Math. Soc., 117:4 (1993).

57.    A characteristic property of some sporadic simple groups (with H.L. Li), Chinese J. of Contemporary Math., 14:2(1993) [in Chinese].

58.    The quantitative structure of groups and related topics, Scientific American (Chinese edition), No.12 (1993) [ in Chinese].

59.    On $C_{pp}$ simple groups (with Z.M. Chen), J. Southwest China Normal University, 18:3 (1993)[ in Chinese].

60.    A characterization of the finite simple group $U_4(3)$, Analele Universitatii din Timisoara, XXX: 2-3(1992).

61.    A characterization of Suzuki’s simple groups, Proc. Amer. Math. Soc., 114:2 (1992).

62.    A new characterization of the alternating groups (with J.X. Bi), Southeast Asian Bull. Math., 16:1 (1992).

63.    On a problem of E. Artin, Acta Math. Sinica, 35:2(1992)[in Chinese].

64.    A class of special finite groups (with C. Yang), Chinese Science Bull.(Abstract), 36:16 (1991)[Chinese], 37:3(1992) [in English];  J. Southwest China Normal University, 17:1 (1992)[in Chinese].

65.    An application of the quantitative characterization of $A_5$ in graph theory (with J.S. Zheng), J. Southwest China Normal University, 16:4(1991)[in Chinese].

66.    Finite groups whose element orders are consecutive integers (with R. Brandl), Journal of Algebra, 143:2(1991).

67.    A characterization of simple groups using orders and related topics, Adv. in Math. 20:2 (1991)[Chinese].

68.    On simple $K_4$-groups, Chinese Science Bull., 36:7(1991)[Chinese].

69.    On the orders of elements of a locally finite simple group (with O.H. Kegel), C.R. Math. Rep. Acad. Sci. Canada, 13:6(1991).

70.    A characterization of Suzuki-Ree groups (with J.X. Bi), Science in China (Ser. A), 33:7 (1990) [in Chinese], 34:1(1991) [in English].

71.    A characteristic property for each finite projective special linear group (with J.X. Bi), Lecture Notes in Math., 1456(1990).

72.    A characterization of the Higman-Sims simple group, Houston J. Math., 16:4(1990).

73.    A characterization of the Conway simple group $Co_2$ , J. of Math.(PRC), 9:2 (1989) [in Chinese].

74.    A characteristic property of $M_{12}$ and $PSU(6, 2)$(with H.L. Li), Acta Math. Sinica, 32:6(1989) [in Chinese].

75.    Finite groups with at most two same order classes of maximal subgroups, Chinese Ann. of Math. , 10(A): 5(1989) [in Chinese].

76.    A new characterization of some simple groups of Lie type, Contemporary Math., 82 (1989).

77.    A new characterization of the sporadic simple groups, Group Theory - Porc. Singapore Group Theory Conf. 1987, Walter de Gruyter Berlin-New York, 1989.

78.    On the simple $K_3$-groups, J. Southwest Normal University, 13:3(1988) [Chinese].

79.    A characteristic property of the Mathieu groups, Chinese J. of Contemporary Math. , 9:3 (1988).

80.    The simple groups of order $2^a 3^b 5^c 7^d$ and Janko’s simple groups, J. Southwest Normal University, 12:4(1987) [in Chinese].

81.    A characteristic property of $A_8$, Acta Math. Sinica, New Ser., 3:1(1987).

82.    A characteristic property of $J_1$ and $PSL_2 (2^n)$, Adv. in Math., 16(1987) [in Chinese].

83.    Some results on the finite simple groups (with Z.M. Chen), Chinese Science Bull., 31:11 (1986) [in Chinese], 32:3(1987) [in English].

84.    A characteristic property of $A_5$ , J. Southwest Normal University, 11:3(1986) [in Chinese].

85.    Solvable $CN$-groups and $\pi$-separable $C_{\pi\pi}$-groups (with W.Z. Yang), J. Math. Res. & Exposition, 6:4 (1986).

86.    Finite groups in which every element has prime power order (with W.Z. Yang), J. Yunan Educational College, 1:1(1986) [in Chinese].

87.    A characteristic property of some $PSL_2(q)$, J. Southwest Normal University, 10:2 (1985) [in Chinese].

88.    A characterization of some projective special linear groups, J. of Math. (PRC), 5:2 (1985).

89.    A class of special minimal normal subgroups, J. Southwest Normal University, 9:3 (1984) [in Chinese].

90.    A characteristic property of $PSL_2(7)$, J. Austral. Math. Soc.(Ser. A), 36(1984).

91.    A new characterization of $A_5$ and the finite groups in which every non-identity element has prime order (with W.Z. Yang), J. Southwest Normal University, 9:1(1984) [in Chinese].

92.    A new characterization of some projective special linear groups and the finite groups in which every non-identity element has prime order or order $2p$, J. Southwest Normal University, 8:1(1983) [in Chinese].

93.    Note on bi-tractable conjugacy problems in groups (with S. Lipschutz), to appear.

94.    The number of finite groups whose element orders is given (with A.R. Moghaddamfar), to be published in "Contributions to Algebra and Geometry".

95.    A generalization of $c$-Supplementation (with Shiheng Li and Dengfeng Liang), to be published in Southeast Asian Bull. Math., 2006

96.    A new criterion for finite non-cyclic groups (with Wei Zhou and Zeyong Duan), to be published in "Comm. in Algebra".

97.    Recognition of finite almost simple groups $PGL_2(q)$ by spectrum (with G.Y. Chen, V.D. Mazurov, A.V. Vasil'ev, A.Kh. Zhurtov), to be published in J. Group Theory.

98.    On 9-and 10-decomposable finite groups (with A. R. Ashrafi), to appear.

99.    Arithmetical Properties of Finite Groups, to be published in “Proc. of Groups St Andrews 2005”. 

100. A characterization of $L_2(2^f)$ in term of character zeros (with Guohua Qian ), to appear.

101. Finite groups with rare elements of largest order (with Guiyun Chen), to appear.

102. Finite groups whose all irreducible character degrees are Hall-numbers (with Dengfeng Liang and Guohua Qian), to appear.

103. Finite groups in which elements of the same order outside the center are conjugate(with Guohua Qian and Xingzhong You), to appear.

104. On the residual finiteness of certain polygonal products (with Wei Zhou), to appear [in Chinese].

105. On the indexes of normal subgroups of fundamental groups (with Wei Zhou), to appear [in Chinese].

106. The maximal theta-pairs of subgroups and the structure of finite groups (with Shiheng Li and Dengfeng Liang), to appear [in Chinese].

107. A new characterization of $S_4(q)$ by its non-commuting graph ( with Liangcai Zhang), to appear.

108. OD-characterization of simple $K_{4}$-groups ( with Liangcai Zhang), to appear.

109. A new characterization of $L_2(q)$ by its noncommuting graph ( with Lingli Wang), to appear.

110. A Conjecture of Abe-Iiyori and the Finite Simple Groups of Exceptional Lie type, IV(with Mingchun Xu), to appear.

111. Recognition by spectrum of $L_{16}(2^m)$ (with M.A. Grechkoseeva, A.V. Vasil'ev) to be published in Algebra Colloquium.

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