The modular group algebra problem for groups of order p5

Mohamed A.M. Salim, Robert Sandling

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We show that p-groups of order p5 are determined by their group algebras over the field of p elements. Many cases have been dealt with in earlier work of ourselves and others. The only case whose details remain to be given here is that of groups of nilpotency class 3 for p odd.

Original languageEnglish
Pages (from-to)229-237
Number of pages9
JournalJournal of the Australian Mathematical Society
Volume61
Issue number2
DOIs
Publication statusPublished - Oct 1996

Keywords

  • Isomorphism problem
  • Modular group algebra
  • p-group

ASJC Scopus subject areas

  • Mathematics(all)

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