Skip to main content Accessibility help
Internet Explorer 11 is being discontinued by Microsoft in August 2021. If you have difficulties viewing the site on Internet Explorer 11 we recommend using a different browser such as Microsoft Edge, Google Chrome, Apple Safari or Mozilla Firefox.

Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more 

Actions of Groups A Second Course in Algebra

Authors

, 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…

  • Get access
  • Add bookmark
  • Cite
  • Share
Resources available Unlock the full potential of this textbook with additional resources. There are Instructor restricted resources available for this textbook. Explore resources

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

Access options

Review the options below to login to check your access.

Purchase options

There are no purchase options available for this title.

Have an access code?

To redeem an access code, please log in with your personal login.

If you believe you should have access to this content, please contact your institutional librarian or consult our FAQ page for further information about accessing our content.

Also available to purchase from these educational ebook suppliers

Curated content

Related content

AI generated results by Discovery for publishers [opens in a new window]