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On the inner automorphisms of finite transformation semigroups

Published online by Cambridge University Press:  20 January 2009

Inessa Levi
Inessa Levi
Affiliation:
Mathematics Department University Of Louisville Louisville, KY 40292, U.S.A.
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Abstract

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If the group of inner automorphisms of a semigroup S of transformations of a finite n-element set contains an isomorphic copy of the alternating group Altn, then S is an Sn-normal semigroup and all the automorphisms of S are inner.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 27 - 30
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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