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Some Properties on Isologism of Groups
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper a necessary and sufficient condition will be given for groups to be ν-isologic, with respect to a given variety of groups ν. Its is also shown that every ν-isologism family of a group contains a ν-Hopfian group. Finally we show that if G is in the variety ν, then every ν-covering group of G is a Hopfian group.
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- Copyright © Australian Mathematical Society 2000
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