The modular group algebra problem for small p-groups of maximal class

Mohamed A.M. Salim, Robert Sandling

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We show that p-groups of maximal class and order p5 are determined by their group algebras over the field of p elements. The most important information requisite for the proof is obtained from a detailed study of the unit group of a quotient algebra of the group algebra, larger than the small group algebra.

Original languageEnglish
Pages (from-to)1064-1078
Number of pages15
JournalCanadian Journal of Mathematics
Volume48
Issue number5
DOIs
Publication statusPublished - Oct 1996

Keywords

  • Isomorphism problem
  • Maximal class
  • Modular group algebra
  • P-group

ASJC Scopus subject areas

  • Mathematics(all)

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