TY - JOUR
T1 - Semicharacters of Groups
AU - Alon, Gil
N1 - Publisher Copyright:
© 2015, Taylor & Francis Group, LLC.
PY - 2015/5/4
Y1 - 2015/5/4
N2 - 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).
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).
KW - Semicharacters
UR - http://www.scopus.com/inward/record.url?scp=84924207380&partnerID=8YFLogxK
U2 - 10.1080/00927872.2013.879162
DO - 10.1080/00927872.2013.879162
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AN - SCOPUS:84924207380
SN - 0092-7872
VL - 43
SP - 1771
EP - 1783
JO - Communications in Algebra
JF - Communications in Algebra
IS - 5
ER -