The stabilizer of the group determinant and bounds for Lehmer's conjecture on finite abelian groups

Given a finite group G of cardinality N, the group determinant [theta]G associated to G is a homogeneous polynomial in N variables of degree N. We study two properties of [theta]G. First we determine the stabilizer of [theta](G) under the action of permuting its variables. Then we also prove that th...

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Bibliographic Details
Main Author: Vipismakul, Wasin
Format: Others
Language:en_US
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/2152/21685