3 papers
math.GR2017
On p-stability in groups and fusion systems
László Héthelyi, Magdolna Szőke, Alexandre Zalesski
The aim of this paper is to generalise the notion of p-stability to fusion systems. We study the question how Qd(p) is involved in finite simple groups. We show that with a single…
math.GR2014
The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n
David J. Green, László Héthelyi, Erzsébet Horváth
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-gro…
math.GR2014
The depth of subgroups of Suzuki groups
László Héthelyi, Erzsébet Horváth, Franciska Petényi
We determine the combinatorial depth of certain subgroups of simple Suzuki groups Sz(q), among others the depth of their maximal subgroups. We apply these results to determine the…