Peer-Reviewed Journal Details
Mandatory Fields
Breuer, T,Pfeiffer, G
1998
September
Journal Of Symbolic Computation
Finding possible permutation characters
Published
()
Optional Fields
26
343
354
We describe three different methods to compute all those characters of a finite group that have certain properties of transitive permutation characters. First, a combinatorial approach can be used to enumerate vectors of multiplicities. Secondly, these characters can be found as certain integral solutions of a system of inequalities. Thirdly, they are calculated via Gaussian elimination. The methods are used to determine these characters for some finite groups and runtimes are listed. In the final section, a permutation character of the Lyons group is constructed. (C) 1998 Academic Press.
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