Research Papers

Lie solvable group algebras of derived length three, Publicacions Matematiques, Vol. 39, No. 2, 1995,  232--240. MR1370883 (96k:16043). 

Group algebras with centrally metabelian unit groups, Publicacions Matematiques, Vol. 40, No. 2, 1996,  443--456. MR1425630 (97k:16049).

A note on Lie centrally metabelian group algebras, Journal of Algebra, Vol. 187, No. 1, 1997,  7--15. MR1425556 (98c:20009). (Jointly with Prof J. B. Srivastava)

On the Jacobson radical and unit groups of group algebras, Publicacions Matematiques, Vol. 42, No. 2, 1998,  339--346. MR1676031 (2000a:16052).

Group algebras satisfying a certain Lie identity, Communications in Algebra, Vol. 34, No. 3, 2006,  817--828. MR 2208099 (2006j:16038).

On models of irreducible q-representations of the Lie algebra G (0,1), Journal of Mathematical Analysis and Applications, Vol. 322, No. 2, 2006,  1128--1139. MR2250640 (2007d:17012). (co-author V. Sahai)

On group algebras KG with U(KG)' nilpotent of class at most 2. Noncommutative rings, group rings, diagram algebras and their applications, Contemporary Mathematics, Vol. 456, 2008,  165--173, Amer. Math. Soc., Providence, RI. MR2416149 (2009h:16033).

Group algebras which are Lie solvable of derived length three, Journal of Algebra and its Applications, Vol. 9, No. 2, 2010,  257--266. MR2646663 (2011e:16046).

Group algebras with unit groups of derived length three, Journal of Algebra and its Applications, Vol. 9, No. 2, 2010,  305--314. MR2646666 (2011m:16047). (co-author H. Chandra).

Lie solvable Group algebras of derived length three in characteristic three, Journal of Algebra and its Applications, Vol. 11, No. 5, 2012, 1250098, 12 pages.  MR2983190, (co-author H. Chandra).

On group algebras with unit groups of derived length three in characteristic three, Publicationes Mathematicae Debrecen,  Vol. 82, Nos. 3-4, 2013, 697--708. MR3066439. (co-author H. Chandra).

Strongly Lie nilpotent group algebras of index at most 8. Journal of Algebra and its Applications,  Vol. 13, No. 7, 2014, 1450044, 9 pages. (co-author H. Chandra).

Group algebras with almost minimal Lie nilpotency index, Publicationes Mathematicae Debrecen,  Vol. 87, Nos. 1-2, 2015, 47--55.

Modular group algebras with small Lie nilpotency indices, Asian-European Journal of Mathematics, Vol.9, No. 4, 2016, 1650080, 15 pages. (co-authors R. K. Sharma, R. Siwach).

Strongly Lie solvable group algebras of derived length 4, Beitrage zur Algebra und Geometrie, Vol. 57, No. 4, 2016, 881--889. (co-authors R. K. Sharma, R. Siwach).

On the Lie nilpotency indices of modular group algebras, Beitrage zur Algebra und Geometrie, Vol. 58, No. 2, 2017,  355--367. (co-authors R. K. Sharma, R. Siwach).

On Lie nilpotent modular group algebras, Communications in Algebra,  Vol. 46, No. 3,  2018, 1199--1206. (Co-author B. Sharan).

Modular Group Algebras of Lie Nilpotency Index 8p-6, Asian-European Journal of Mathematics, Vol. 11, No.3, 2018, 1850039,  11 pages.  (Co-author B. Sharan).

Group Algebras of Lie Nilpotency Index 12 and 13, Communications in Algebra,  Vol. 46, No. 4, 2018, 1428--1446. (co-authors R.K.Sharma, R.Siwach).

Lie nilpotency indices of modular group algebras II, Asian-European Journal of Mathematics, Vol. 11, No. 6, 2018, 1850087, 17 pages. (co-authors R. K. Sharma, R. Siwach).

Jordan Regular Generators of General Linear Groups, Journal of Indian Mathematical Society,  Vol. 85, Nos. 3-4, 2018,  422--433. (co-authors R. K. Sharma, P. Kumari).

 A note on Lie nilpotent group algebras, Journal of Algebra and its Applications, Vol. 18, No. 9, 2019, 1950163, 12 pages. (Co-author B. Sharan).

Lie centrally metabelian group rings over noncommutative rings, Communications in Algebra, 2019, Vol. 47, No. 11, 4729--4739.  (Co-author S. F. Ansari).

Unit groups of group algebras of certain dihedral groups-II,  Asian-European Journal of Mathematics, Vol. 12, No. 4,  2019, 1950066, 12 pages. (Co-author S. F. Ansari).

A note on the upper Lie nilpotency index of a group algebra,  Asian-European Journal of Mathematics, Vol. 12, No. 7, 2019, 2050010, 11 pages. (Co-author B. Sharan).

Unit groups of semisimple group algebras of certain dihedral groups, Serdica Mathematical Journal, Vol.  45,  No. 4, 2019, 305--316.  (Co-author S. F. Ansari). 

 Unit groups of the finite group algebras of some generalized quaternion groups, Journal of Algebra and its Applications, Vol. 19, No. 6, 2020, 2050112, 5 pages. (Co-author S. F. Ansari).

Group algebras of Lie nilpotency index 14,  Asian-European Journal of Mathematics,  Vol. 13, No. 5, 2020, 2050088, 18 pages. (Co-authors S. Bhatt, H. Chandra).

Unit groups of group algebras of certain dihedral groups, Malaysian Journal of Mathematical Sciences, Vol. 14, No. 3, 2020, 419--436. (Co-author S. F. Ansari). 

The structure of U(F(C_n x D_8)), Serdica Mathematical Journal,   Vol. 46, 2020, 387--396. (Co-author S. F. Ansari).

The group of units of group algebras of groups D_30 and C_3 x D_10  over a finite field of characteristic 3, International Electronic Journal of Algebra, Vol. 29, 2021, 165--174. (Co-author S. F. Ansari). 

Unit groups of finite group algebras of abelian groups of order at most 16,  Asian-European Journal of Mathematics, Vol. 14, No. 3, 2021, 2150030, 17 pages.  (Co-author S. F. Ansari).

 Unit groups of group algebras of groups of order 20,  Quaestiones  Mathematicae,  Vol. 44, No. 4, 2021, 503--511.   (Co-author S. F. Ansari).

Unit groups of group algebras of groups of order 18, Communications in Algebra,  Vol. 49, No. 8, 2021, 3273--3282.  (Co-author S. F. Ansari).

Lie nilpotency index of a modular group algebra,  Asian-European Journal of Mathematics, Vol. 14, No. 8, 2021, 2150129, 12 pages. (Co-author B. Sharan).

On the lower Lie nilpotency index of a group algebra, Quaestiones  Mathematicae, Vol. 44, No. 10. 2021, 1347--1354. (Co-author B. Sharan).

 The structure of the unit group of the group algebra F(C_3 x D_{10}), Annales Mathematicae et Informaticae,  Vol. 54, 2021, 73--82. (Co-author S. F. Ansari). 

Presentations of general linear groups with Jordan regular generators, Palestine Journal of Mathematics,  Vol. 11, No. 1, 2022, 162--175. (Co-authors R. K. Sharma, P. Kumari).  

Derivations and centralizers in rings, Palestine Journal of Mathematics,  Vol. 11, No. 2, 2022, 413--419. (Co-author S. F. Ansari).

Group of units of finite group algebras of groups of order 24, Ukrains'kyi Matematychnyi Zhurnal,  Vol. 75, No. 2, 2023, 215--229;  Ukrainian Mathematical Journal}, Vol.  75, No. 2, July, 2023, 244 – 261. (Co-author S. F. Ansari).

Jordan regular units in rings and group rings, Ukrains'kyi Matematychnyi Zhurnal,  Vol. 75, No. 3, 2023, 351--363;  Ukrainian Mathematical Journal}, Vol.  75, No. 3, August, 2023, 403 -- 418.  (Co-authors R. K. Sharma, P. Kumari). 

Modular group algebras with centrally metabelian unit groups, Journal of Algebra,  Vol. 632,  2023, 783-800. (Co-author T. Juhász).

Units in  F(C_n × Q_{12}) and F(C_n × D_{12}), International Electronic Journal of Algebra, Vol. 34, 2023, 182--196.  (Co-author S. F. Ansari).

The structure of the unit group of the group algebras F_{3^k}D_{6n} and F_qD_{42} ,  Annales Mathematicae et Informaticae,  Vol. 60, 2024, 98--107. (Co-authors Sandeep Malik, R. K. Sharma). 

On Units in FD_{3.2^{n+1}},  Accepted, Palestine Journal of Mathematics. (Co-author S. F. Ansari).

On the commutator subgroup of the unit group of a modular group algebra,  Journal of Group Theory, 2025. https://doi.org/10.1515/jgth-2024-0209  . (Co-author T. Juhász).