Geodesic
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
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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. 
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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/

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