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The automorphism group of the semigroup of finite complexes of a periodic abelian group

Published online by Cambridge University Press:  09 April 2009

R. D. Byrd ,
J. T. Lloyd  and
J. W. Stepp
R. D. Byrd
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77004, USA.
J. T. Lloyd
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77004, USA.
J. W. Stepp
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77004, USA.
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Abstract

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In this paper it is shown that if G is a periodic Abelian group and ∣ G ∣ ≥ 6, then the only automorphisms of the semigroup of finite nonempty complexes of G are induced by automorphisms of G.

Subject classification (Amer. Math. Soc. (MOS) 1970): primary 20 M 15; secondary 20 K 30.

Keywords

automorphismperiodic Abelian groupsemigroup
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1979 , pp. 15 - 22
Copyright
Copyright © Australian Mathematical Society 1979

References

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