3 papers
math.GR2019
Subgroups of arbitrary even ordinary depth
Hayder Abbas Janabi, Thomas Breuer, Erzsebet Horvath
We show that for each positive integer , there are a group and a subgroup such that the ordinary depth is . This solves the open problem posed by Lars Kadi…
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…
math.RT2011
Real characters in blocks
Laszlo Hethelyi, Erzsebet Horvath, Endre Szabo
We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cycli…