Department of Mathematics
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Universal groups of intermediate growth and their invariant random subgroups
Benli, Mustafa Gökhan; Nagnibeda, Tatiana (2015-07-01)
We exhibit examples of groups of intermediate growth with ergodic continuous invariant random subgroups. The examples are the universal groups associated with a family of groups of intermediate growth.
Uncountably many 2-generated just-infinite branch pro-2 groups
Benli, Mustafa Gökhan (2015-01-01)
The aim of this note is to prove that there are 2 non-isomorphic 2 generated just-infinite branch pro-2 groups.
On the condensation property of the lamplighter groups and groups of intermediate growth
Benli, Mustafa Gökhan (Lugansk Taras Shevchenko National University, 2014-06-01)
The aim of this short note is to revisit some old results about groups of intermediate growth and groups of the lamplighter type and to show that the Lamplighter group L = Z2 ≀ Z is a condensation group and has a minimal p...
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