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020 _a9780486681948
040 _aNISER LIBRARY
_bEnglish
_cNISER LIBRARY
041 _aEnglish
082 _a512.54
_bROS-C
100 _aRose, John S.
245 _aCourse on group theory
260 _aNew York :
_bDover Publications,
_c1994.
300 _aix, 310p. :
_bill. ;
_c22 cm.
504 _aIncludes bibliographical references (p. [295]-300) and indexes.
520 _aThis textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.
650 _aGroup theory
650 _aMathematics
856 _3Table of contents
_uhttps://catdir.loc.gov/catdir/toc/dover031/94020435.html
856 _3Reviews
_uhttps://www.goodreads.com/book/show/558478.A_Course_on_Group_Theory#CommunityReviews
942 _2udc
_cG
999 _c35208
_d35208