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Rationality and Sylow 2-subgroups
Published online by Cambridge University Press: 12 August 2010
Abstract
Let G be a finite group. If G has a cyclic Sylow 2-subgroup, then G has the same number of irreducible rational-valued characters as of rational conjugacy classes. These numbers need not be the same even if G has Klein Sylow 2-subgroups and a normal 2-complement.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 3 , October 2010 , pp. 787 - 798
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- Copyright © Edinburgh Mathematical Society 2010
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