Units of commutative group algebra with involution

Details Units of commutative group algebra with involution Units of commutative group algebra with involution

2007-01-30

arxiv.org/abs/math/0701871v1

Mathematics

Group Theory

10 pages

Scientific paper

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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