Symmetric units in modular group algebras

Bódi, Viktor and Kovács, L. G. and Sehgal, S. K. (1996) Symmetric units in modular group algebras. Communications in Algebra, 24 (3). pp. 803-808. ISSN 0092-7872 (print), 1532-4125 (online)

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Abstract

Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g bar arrow pointing right g(-1) of G extends linearly to an anti-automorphism a bar arrow pointing right 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.

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