Actions of groups : a second course in algebra /

Actions of groups : a second course in algebra /

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Bibliographic Details
Author / Creator:	McCleary, John, 1952- author.
Imprint:	Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023. ©2023
Description:	xiv, 231 pages : illustrations ; 23 cm
Language:	English
Subject:	Group actions (Mathematics) Finite groups. Set theory. Group theory. Representations of groups. Galois theory. Finite groups. Group actions (Mathematics) Set theory.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12960029

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ISBN:	9781009158121 1009158120 9781009158114 1009158112 9781009158107
Notes:	Includes bibliographical references (pages 221-226) and index.
Summary:	"Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial equations. Because groups may act as permutations of a set, as linear transformations on a vector space, or as automorphisms of a field, the deeper structure of a group may emerge from these viewpoints, two different groups can be distinguished, or a polynomial equation can be shown to be solvable by radicals. By developing the properties of these group actions, readers encounter essential algebra topics like the Sylow theorems and their applications, Galois theory, and representation theory. Warmup chapters that review and build on the first course and active learning modules help students transition to a deeper understanding of ideas"--
Other form:	Online version: McCleary, John, 1952- Actions of groups Cambridge ; New York, NY : Cambridge University Press, 2023 9781009158107

Eckhart

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Call Number:	QA174.2.M43 2023
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