2008•Journal of MathematicsRequires access

SOME SUFFICIENT CONDITIONS FOR THE COLEMAN OUTER AUTOMORPHISM GROUP OF A FINITE GROUP BEING A p'-GROUP

Yulei Wang

Abstract

In this paper,the problem for the Coleman outer automorphism group of a finite group G to be a p'-group is studied.By using some properties of Sylow p-subgroups and homology groups,we obtain some sufficient conditions for the Coleman outer automorphism group of a finite group being a p'-group.Our results are different from those of M.Hertweck and W.Kimmerle.

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Key concepts: Outer automorphism group, Mathematics, p-group, Inner automorphism, Alternating group, Sylow theorems, Group (periodic table), Group of Lie type