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Conjugacy classes in finite permutation groups via homomorphic images
Author(s):
Alexander
Hulpke.
Journal:
Math. Comp.
69
(2000),
1633-1651.
MSC (1991):
Primary 20-04, 20B40, 68Q40
Posted:
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
Email:
ahulpke@dcs.st-and.ac.uk
DOI:
10.1090/S0025-5718-99-01157-6
PII:
S 0025-5718(99)01157-6
Keywords:
Conjugacy classes,
permutation group,
algorithm
Received by editor(s):
November 17, 1997
Received by editor(s) in revised form:
November 17, 1998
Posted:
May 24, 1999
Additional Notes:
Supported by EPSRC Grant GL/L21013
Copyright of article:
Copyright
2000,
American Mathematical Society
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