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.
ASJC Scopus subject areas
- Algebra and Number Theory