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rational classes

Proceedings of the Edinburgh Mathematical Society (1)

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Rationality and Sylow 2-subgroups
Part of
- Representation theory of groups
Gabriel Navarro, Joan Tent
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 53 / Issue 3 / October 2010

Published online by Cambridge University Press:

12 August 2010, pp. 787-798
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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.