ENGLISH

A course on group theory

By John S Rose

Book information

Publisher
Cambridge University Press
Year
1978
ISBN
0521214092, 476-488-492-5, 234-236-241-2, 162-195-222-3, 9780521214094, 0521291429, 9780521291422
Language
english
Format
DJVU
Filesize
2 MB (2399289 bytes)
Pages
ix, 310 pages : ill ; 24 cm\317
Library
kolxo3
DPI
600
Time added
2014-11-04 21:00:00

Description

This 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.

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