Actions of Groups A Second Course in Algebra
- Textbook
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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