J4 ›› 2013, Vol. 48 ›› Issue (6): 5-8.
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HAI Jin-ke, LI Zheng-xing
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Abstract:
Let G be a finite group. It is proved that if G/F*(G) has no chief factor isomorphic to Cp, then the Coleman outer automorphism group of G is a p′group by considering the structure of Sylow psubgroups of G.
Key words: automorphism group; homology group; generalized Fitting subgroup
HAI Jin-ke, LI Zheng-xing. Influence of the structure of Sylow p-subgroups on Coleman outer automorphism groups of finite groups[J].J4, 2013, 48(6): 5-8.
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