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Units of commutative group algebra with involution

A. Bovdi·A. Szakacs
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Abstract

Let p be an odd prime, F the field of p elements and G a finite abelian p-group with an arbitrary involutory automorphism. Extend this automorphism to the group algebra FG and consider the unitary and the symmetric normalized units of FG. This paper provides bases and determines the invariants of the two subgroups formed by these units.

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A. Bovdi, A. Szakacs. 2007-01-30. Units of commutative group algebra with involution. https://arxiv.org/abs/math/0701871

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