On generators and presentations of semidirect products in inverse semigroups
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In this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.
Dombi , E R & Ruskuc , N 2009 , ' On generators and presentations of semidirect products in inverse semigroups ' Bulletin of the Australian Mathematical Society , vol 79 , no. 3 , pp. 353-365 . , 10.1017/S0004972708000890
Bulletin of the Australian Mathematical Society
(c) 2009 Australian Mathematical Society
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