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FINITE GROUP THEORY (M1, Rotman)

Lecture Topic : FINITE GROUP THEORY (M1, Rotman)

Prerequisites: Finite Group Theory (Sen, M1); Abstract Algebra (Sen, M1);

Recommended Text(s) :

“An Introduction to the Theory of Groups”, Joseph J. Rotman, Graduate Texts in Mathematics No. 148, Springer, 1995.

Approx price new on Amazon.com (hard copy) : $65

Approx price second hand on Amazon.com (hard copy) : $45

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Rotman, Theory of Groups

Lectures and Links :

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Lecture 1  (link)

Ch.1   Groups and Homomorphisms

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Lecture 2  (link)

Ch.2   The Isomorphism Theorems

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Lecture 3  (link)

Ch.3   Symmetric Groups and G-Sets

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Lecture 4  (link)

Ch.4   The Sylow Theorems

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Lecture 5   (link)

Ch.5  NormalSeries

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Lecture 6   (link)

Ch.6   Finite Direct Products

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Lecture 7   (link)

Ch.7   Extensions and Cohomology

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Lecture 8   (link)

Ch.8   Some Simple Linear Groups

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Lecture 9   (link)

Ch.9   Permutations and the Mathieu Groups

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Lecture 10   (link)

Ch.10   Abelian Groups

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Lecture 11   (link)

Ch.11   :   Free Groups and Free Products

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Lecture 12   (link)

Ch.12   The Word Problem

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Lecture 13   (link)

Epilogue, Appendices

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Lecture 14   (link)

Appendix VI :   Commutative Rings

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Links to Other Lecturers on this Topic :

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