Geodesic
Følner Nets for Semidirect Products of Amenable Groups
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 60-66

Voir la notice de l'article provenant de la source Cambridge University Press

For unimodular semidirect products of locally compact amenable groups $N$ and $H$ , we show that one can always construct a Følner net of the form $({{A}_{\alpha }}\,\times \,{{B}_{\beta }})$ for $G$ , where $({{A}_{\alpha }})$ is a strong form of Følner net for $N$ and $({{B}_{\beta }})$ is any Følner net for $H$ . Applications to the Heisenberg and Euclidean motion groups are provided.
DOI : 10.4153/CMB-2008-008-7
Mots-clés : 22D05, 43A07, 22D15, 43A20 
Janzen, David. Følner Nets for Semidirect Products of Amenable Groups. Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 60-66. doi: 10.4153/CMB-2008-008-7
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