A modular version of maschke’s theorem for groups with cyclic p-sylow subgroups

Mary Schaps

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We prove that the group algebra of a finite group with a cyclic p-Sylow subgroup over an algebraically closed field is a specialization of a parameter-dependent multiplication structure which gives a semisimple algebra for general values of the parameter. We actually prove the existence of such a specialization for any block of cyclic defect group.

Original languageEnglish
Pages (from-to)623-635
Number of pages13
JournalJournal of Algebra
Volume163
Issue number3
DOIs
StatePublished - 1 Feb 1994

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