Abstract
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.
Original language | English |
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Pages (from-to) | 353-365 |
Number of pages | 13 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 79 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jun 2009 |
Keywords
- semidirect products
- inverse semigroups
- generators and presentation