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 |
|---|---|
| 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 |
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Keywords
- semidirect products
- inverse semigroups
- generators and presentation
Cite this
Dombi, E., & Ruskuc, N. (2009). On generators and presentation of semidirect products in inverse semigroups. Bulletin of the Australian Mathematical Society, 79(3), 353-365. https://doi.org/10.1017/S0004972708000890