Lecture Notes
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Note 18-Jul-2018.pdfNote 22-Aug-2018.pdfNote 31-Jul-2018.pdfNote 22-Aug-2018 (2).pdfNote 09-Sep-2018 8_08_25 PM. Homomorphisms and Isomorphisms - I.pdfNote 07-Oct-2018 5_44_26 PM. External Direct Product of Groups.pdfNote 14-Sep-2018 9_33_51 AM. Normal Subgroups.pdfNote 23-Sep-2018 4_11_31 PM. Note for exercises 6 and 7 of page 168 of Gallian .pdfImportant Theorems : This note contains complete proofs of Cayley's theorem and three isomorphism theorems. I hope proofs are delicious and digestible. There are some good theorems in your course which you must learn. Theorems and good examples are soul of mathematics because beauty of mathematics is reflected through them. ( Its a big file of almost 14 mb)
Note 16-Sep-2018 1_54_25 PM. Some Important Theorems.pdfNote 13-Sep-2018 1_13_19 AM. Homomorphisms and Isomorphisms - II.pdfThis II part of our note on Homomorphisms and Isomorphisms( here we have also explained the concept of fibre which is nothing but your inverse image of set or point. Note is full of examples. At the end some exercises are given , you must try to solve them. Remember mathematics comes to you when you work on it.
Note 24-Nov-2018 12_53_22 AM. ORDER OF U(n).pdfOrder of U(n): Here is number-theoretic proof based on famous Euler-phi-function.
Note 15-Apr-2019 9_21_15 AM. Solved Problems ( Automorphisms) Part -I.pdfIt is starting lecture of your Group Theory - II
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