Symmetric units in modular group algebras

Bovdi, V. A.; Kovacs, L. G.; Sehgal, S. K.

Symmetric units in modular group algebras

Authors

Bovdi, V. A.

Kovacs, L. G.

Sehgal, S. K.

Description

Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g\mapsto g\m1 of G extends linearly to an anti-automorphism a\mapsto 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.
6 pages