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Mathematics of Computation

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Conjugacy classes in finite permutation groups via homomorphic images

Author: Alexander Hulpke
Journal: Math. Comp. 69 (2000), 1633-1651
MSC (1991): Primary 20-04, 20B40, 68Q40
Published electronically: May 24, 1999
MathSciNet review: 1659847
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Abstract: The lifting of results from factor groups to the full group is a standard technique for solvable groups. This paper shows how to utilize this approach in the case of non-solvable normal subgroups to compute the conjugacy classes of a finite group.

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Additional Information

Alexander Hulpke
Affiliation: School of Mathematical and Computational Sciences, University of St. Andrews, The North Haugh, UK-St Andrews, Fife KY16 9SS, SCOTLAND

Keywords: Conjugacy classes, permutation group, algorithm
Received by editor(s): November 17, 1997
Received by editor(s) in revised form: November 17, 1998
Published electronically: May 24, 1999
Additional Notes: Supported by EPSRC Grant GL/L21013
Article copyright: © Copyright 2000 American Mathematical Society