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> Actions of Groups

Actions of Groups A Second Course in Algebra

Authors

John McCleary, Vassar College, New York
Published 2023

Description

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…

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Key features

  • Presents unified narratives around fundamental concepts in modern algebra, allowing readers to anticipate and develop methods that are related but widely applicable
  • Features active learning modules, “Getting to Know…,” where readers work out ideas for themselves, offering opportunities for mathematical discourse among students in group settings
  • Discusses representation theory – an often-overlooked topic for undergraduates – while illustrating its importance, depth, and remarkable applications
  • Provides a more motivated narrative of Galois theory, developed with group actions to hand, and exposes readers to concrete examples of Galois theory in action

About the book

  • DOI https://doi.org/10.1017/9781009158107
  • Subjects Algebra,Mathematics
  • Format: Hardback
    • Publication date: 05 January 2023
    • ISBN: 9781009158121
    • Dimensions (mm): 229 x 152 mm
    • Weight: 0.51kg
    • Page extent: 226 pages
    • Availability: Available
  • Format: Paperback
    • Publication date: 05 January 2023
    • ISBN: 9781009158114
    • Dimensions (mm): 229 x 152 mm
    • Weight: 0.36kg
    • Page extent: 226 pages
    • Availability: Available
  • Format: Digital
    • Publication date: 03 May 2023
    • ISBN: 9781009158107

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