Semicharacters of Groups

Gil Alon

doi:10.1080/00927872.2013.879162

Semicharacters of Groups

Gil Alon

Mathematics

Open University of Israel

Research output: Contribution to journal › Article › peer-review

Abstract

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 important families of groups, including the Symmetric groups and the groups GL(2, q).

Original language	English GB
Pages (from-to)	1771-1783
Number of pages	13
Journal	Communications in Algebra
Volume	43
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2013.879162
State	Published - 4 May 2015

Keywords

Semicharacters

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2013.879162

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AB - 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 important families of groups, including the Symmetric groups and the groups GL(2, q).

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DO - 10.1080/00927872.2013.879162

M3 - مقالة

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EP - 1783

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

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Semicharacters of Groups

Abstract

Keywords

ASJC Scopus subject areas

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