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On maximal abelian groups of maps
Published online by Cambridge University Press: 09 April 2009
Abstract
The paper gives a rather simple description of all maximal abelian subgroups H of the symmetric group SM acting on an arbitrary set M. In the case of finite M this result is used to determine the maximal cardinality of such an H and the maximal number of permutations without fixed points contained in an abelian subgroup of SM.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 55 , Issue 3 , December 1993 , pp. 414 - 420
- Copyright
- Copyright © Australian Mathematical Society 1993
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