Semicharacters of Groups

Details Semicharacters of Groups Semicharacters of Groups

2011-12-28

arxiv.org/abs/1112.6125v3

Mathematics

Group Theory

Scientific paper

We define the notion of a semicharacter of a group G : A function from the
group to C*, whose restriction to any abelian subgroup is a homomorphism. We
conjecture that for any finite group, the order of the group of semicharacters
is divisible by the order of the group. We prove that the conjecture holds for
some families of groups, including the symmetric and general linear groups.

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