Symmetric units in modular group algebras

Victor Bovdi, L. G. Kovács, S. K. Sehgal

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g → g-1 of G extends linearly to an anti-automorphism a → a* of KG. An element a of KG is called symmetric if a* = a. In this paper we answer the question: for which G and K do the symmetric units of KG form a multiplicative group.

Original languageEnglish
Pages (from-to)803-808
Number of pages6
JournalCommunications in Algebra
Volume24
Issue number3
DOIs
Publication statusPublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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