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| finite groups with schmidt group as automorphism group |
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Citation： |
Chen Guiyun（陈贵云）.finite groups with schmidt group as automorphism group[J].Chinese Annals of Mathematics B,1992,13(1):105~109 |
| Page view： 1005
Net amount： 921 |
Authors： |
Chen Guiyun（陈贵云）; |
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| Abstract： |
this paper continues the work of D. MacHale,D. Flannery(Proc.R.Ir.Acad.81A,209-215;83a,189-196) and the author(Proc. R. Ir. Acad.90A,57-62;J.southwest China Normal University 15,No.1,21-28) on the topic on "Finite groups with given Automorphism group".The following result is proved:
Let G be a finite group with Aut G a Schmidt group.then G is isomorphic to S_3 or Klain 4-group.,or D such that Aut D=Inn D.
D is a Schmidt group of order $2^{\alpha}p:S_2(\insyl_{2}D)$ is a nrmal and special group except superperspecial group without commutative generators. |
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