David J. Green, László Héthelyi, Erzsébet Horváth
Published 2014-12-18Version 1
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.
The proportion of derangements characterizes the symmetric group
A Chain of Normalizers in the Sylow $2$-subgroups of the symmetric group on $2^n$ letters
The Girth of Cayley graphs of Sylow 2-subgroups of symmetric groups $S_{2^n}$ on diagonal bases
![QR code for arXiv:1412.6176 [math.GR]](http://oss.arxitics.com/images/favicon.svg)