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Orbit sizes, local subgroups and chains of p-groups
Published online by Cambridge University Press: 09 April 2009
Abstract
Let G be a finite group that acts on a finite group V, and let p be a prime that does not divide the order of V. Then the p-parts of the orbit sizes are the same in the actions of G on the sets of conjugacy classes and irreducible characters of V. This result is derived as a consequence of some general theory relating orbits and chains of p-subgroups of a group.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 71 , Issue 3 , December 2001 , pp. 325 - 338
- Copyright
- Copyright © Australian Mathematical Society 2001
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