The depth of subgroups of Suzuki groups

2014/04/05 by László Héthelyi, Héthelyi, László, Erzsébet Horváth +3
Mathematics · #20B20 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20B20

paper · pdf · doi:10.48550/arxiv.1404.1523

15 pages

arxiv created 2014/04/05 · arxiv updated 2014/04/08

Abstract

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 ordinary depth of these subgroups.

Related

• The depth of the maximal subgroups of Ree groups
• On the depth of subgroups of simple groups
• The depth of a finite simple group
• On subgroup depth
• Subgroups of arbitrary even ordinary depth