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

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DOI

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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     author = {Janzen, David},
     title = {F{\o}lner {Nets} for {Semidirect} {Products} of {Amenable} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {60--66},
     year = {2008},
     volume = {51},
     number = {1},
     doi = {10.4153/CMB-2008-008-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-008-7/}
}
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