Matrix Representations as a Gateway to Group Theory

Paul Becker, Mark Medwid

Research output: Contribution to journalArticlepeer-review

Abstract

Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for “abstract” concepts. We describe Maple lab assignments which explore group actions, subgroups, normality, cosets, quotient groups, homomorphisms, isomorphisms, and kernels.

Original languageEnglish (US)
Pages (from-to)811-825
Number of pages15
JournalPRIMUS
Volume31
Issue number7
DOIs
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Education

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