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arXiv · 1412.6176

The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n

David J. Green·László Héthelyi·Erzsébet Horváth
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Abstract

The Sylow p-subgroups of the symmetric group S_p^n satisfy the appropriate generalization of Maschke's Theorem to the case of a p'-group acting on a (not necessarily abelian) p-group. Moreover, some known results about the Sylow p-subgroups of S_p^n are stated in a form that is true for all primes p.

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David J. Green, László Héthelyi, Erzsébet Horváth. 2014-12-18. The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n. https://arxiv.org/abs/1412.6176

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