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Nilpotent injectors and conjugacy classes in solvable groups

Part of: Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Geoffrey R. Robinson
Geoffrey R. Robinson
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B 15 2 TT, England
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Abstract

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We provide an upper bound for the order of a nilpotent injector of a finite solvable group with Fitting subgroup of order n. We also show that the same bound is an upper bound for the number of conjugacy classes, provided that the k(G V)-conjecture holds for solvable G all primes dividing n.

MSC classification

Secondary: 20E45: Conjugacy classes 20F16: Solvable groups, supersolvable groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 71 , Issue 3 , December 2001 , pp. 349 - 352
Copyright
Copyright © Australian Mathematical Society 2001

References

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