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Nilpotent injectors and conjugacy classes in solvable groups
Published online by Cambridge University Press: 09 April 2009
Abstract
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
- 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
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