Finite groups acting 2-transitively on their sylow subgroups

Authors
Li, Caiheng Wang, Jie
Citation
Li, Caiheng et Wang, Jie, Finite groups acting 2-transitively on their sylow subgroups, Acta mathematica Sinica. English series (Print) , 15(1), 1999, pp. 131-144
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
15
Issue
1
Year of publication
1999
Pages
131 - 144
Database
ACNP
SICI code
Abstract
In this paper we have completely determined: (1) all almost simple groups which act 2-transitively on one of their sets of Sylow p-subgroups. (2) all non-abelian simple groups T whose automorphism group acts 2-transitively on one of the sets of Sylow p-subgroups of T. (3) all finite groups which are 2-transitive on all their sets of Sylow subgroups.