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(2) Cotonou B. .. BEFORE AND AFTER -. 9n:¥÷:e:a ia %:mdmieatgh:: \. ,. t. t::: ". I. .. ¥i¥÷÷÷i÷¥ :i÷tiiir¥¥:a¥% Other M.sc -. -. Lie. .. lectures. Algebras. Number Theory. s.
(3) Cotonou C. BACKGROUND GROUP THEORY. t. MODULE THEORY. -. The. following elementary → → →. The. Actions of groups. →. →. → → →. on. theory. sets. are. assumed. ( G set -. Sylow theory. Galois. following elementary →. notions of group. known. as. theory ). theory notions of module. theory. are. assumed. as. known. Modules /submodules/ homomorphisms /quotient modules Free modules / projective modules Direct sums / direct products Exact sequences / short exact sequences Tensor. products. Algebras. :. :.
(4) COH÷qqGR0UPS D.. AIMS OF THE LECTURE. -. 1. 2. Introduction to. homological algebra / homology cohomology. Advanced group Problem 1. :. theory. Classify. Two. group. Solution Problem 2 :. uses. .. for. 161=8. problems. extensions two. Classify finite E. g. ( module. t. :. :. we. 1. -. will solve. s. cohomology groups. groups. of given a. N. -. s. using. E. when N. order. -. is. ,. ,. ,. homological. co. G. -. abelian :. with. Cg Cyxcz Czxczxcz D8 Qs ,. >. ". ". >. ". theory ) methods :. 1. H' ( G. N) & HZCGN). elegant. ". methods. ..
(5) CoH÷qyGR0UPS D.. AIMS OF THE LECTURE. -. 2. Advanced group Further. problem. theory Understand the Schur ". →. importance for ( reductions to. →. classification 1-. reading. of. ". multiplier of. the. finite group. theory of finite. quasi simple -. the. a. groups. quasi simple. the ATLAS. -. of. groups .. .. .. ). groups. FINITE GROUPS. .. G. :. HTG. ,.
(6) THE ATLAS OF FINITE GROUPS # .. '. '. ( often The ATLAS of finite groups " ATLAS ) is a book on group theory. You. find it easily and color. size. in. math. any. R A. .. .. -. .. group. .. Conway. .. R T .. ,. ,. .. who. Curtis , are. representation theorists. Conway unfortunately passed away reportedly from Carib 19 T.tl. of its. ← math book. written by J H. or. because. standard. Parker and R A Wilson. group. the. :. 42cm x 30cm. was. ". .. library. →. It. called. simply. .. all. S P -. .. Norton. known. ,. re. .. on. April 11. 2020. ,. -. .. The book itself contains a the 93 smallest non abelian -. of related finite groups such quasi simple groups). series. (. =. plethora of information about finite simple groups and other. -. .. as. central extensions.
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