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Group theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Group theory/ by Dinesh Khattar, Neha Agrawal.
作者:	Khattar, Dinesh.
其他作者:	Agrawal, Neha.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xiii, 329 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Group theory. -
電子資源:	https://doi.org/10.1007/978-3-031-21307-6
ISBN:	9783031213076

Group theory
Khattar, Dinesh.

Group theory[electronic resource] /by Dinesh Khattar, Neha Agrawal. - Cham :Springer International Publishing :2023. - xiii, 329 p. :ill., digital ;24 cm.

Group -- Finite Groups and Subgroups -- Cyclic Groups -- Permutation Groups -- Cosets and Lagrange's Theorem -- Normal Subgroups and Factor Groups -- Group Homomorphism and Isomorphism -- Automorphisms -- Direct Products -- Group Actions -- Sylow Theorems.

This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange's theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.

ISBN: 9783031213076

Standard No.: 10.1007/978-3-031-21307-6doiSubjects--Topical Terms:

527791
Group theory.

LC Class. No.: QA174.2 / .K43 2023

Dewey Class. No.: 512.2

Group theory
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505 0 $a Group -- Finite Groups and Subgroups -- Cyclic Groups -- Permutation Groups -- Cosets and Lagrange's Theorem -- Normal Subgroups and Factor Groups -- Group Homomorphism and Isomorphism -- Automorphisms -- Direct Products -- Group Actions -- Sylow Theorems.
520 $a This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange's theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.
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