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Abelian groups as inner mapping groups of loops

Published online by Cambridge University Press:  17 April 2009

Asif Ali  and
John Cossey
Asif Ali
Affiliation:
Department of Mathematics, Quaid-E-Azam University, Islamabad, Pakistan
John Cossey
Affiliation:
Mathematics Department, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia
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The question of which Abelian groups can be the inner mapping group of a loop has been considered by Niemenmaa, Kepka and others. We give a construction which shows that many finite Abelian groups can be the inner mapping group of a loop.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 481 - 488
Copyright
Copyright © Australian Mathematical Society 2004

References

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