Geodesic
A note on relative amenability
Phillip Wesolek1
1University of Illinois-Chicago, USA
Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 95-104

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DOI

P.-E. Caprace and N. Monod isolate the class X of locally compact groups for which relatively amenable closed subgroups are amenable. It is unknown if X is closed under group extension. In this note, we exhibit a large, group extension stable subclass of X, which suggests X is indeed closed under group extension. Along the way, we produce generalizations of the class of elementary groups and obtain information on groups outside X.
DOI : 10.4171/ggd/389
Classification : 22-XX
Mots-clés : Amenability, relative amenability, elementary groups.

Phillip Wesolek  1

1 University of Illinois-Chicago, USA 
Phillip Wesolek. A note on relative amenability. Groups, geometry, and dynamics, Tome 11 (2017) no. 1, pp. 95-104. doi: 10.4171/ggd/389
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