On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 92-101
Voir la notice de l'article provenant de la source Math-Net.Ru
It is shown that, in a finite group with socle isomorphic to a simple group of exceptional Lie type over a field of an odd order greater than 3, the number of Sylow 2-subgroups whose intersection with a fixed Sylow 2-subgroup is trivial exceeds by a factor of at least 3 the order of this Sylow 2-subgroup.
Keywords:
finite group, simple group of exceptional Lie type, Sylow 2-subgroup, intersection of subgroups.
@article{TIMM_2011_17_4_a9,
author = {V. I. Zenkov},
title = {On intersections of {Sylow} 2-subgroups in automorphism groups of finite simple groups of exceptional {Lie} type},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {92--101},
publisher = {mathdoc},
volume = {17},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a9/}
}
TY - JOUR AU - V. I. Zenkov TI - On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type JO - Trudy Instituta matematiki i mehaniki PY - 2011 SP - 92 EP - 101 VL - 17 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a9/ LA - ru ID - TIMM_2011_17_4_a9 ER -
%0 Journal Article %A V. I. Zenkov %T On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type %J Trudy Instituta matematiki i mehaniki %D 2011 %P 92-101 %V 17 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a9/ %G ru %F TIMM_2011_17_4_a9
V. I. Zenkov. On intersections of Sylow 2-subgroups in automorphism groups of finite simple groups of exceptional Lie type. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 92-101. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a9/