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Questions about the branch of algebra that deals with groups.

4 votes
Accepted

Speed and absence of non-constant bounded harmonic functions

Here is an alternative simple proof (without any entropy) of non-Liouville $\Rightarrow$ positive speed using some of the theory of the Martin boundary/positive harmonic functions. It's quite high-lev …
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7 votes
1 answer
252 views

Krasner–Kaloujnine universal embedding theorem for finitely generated groups?

The Krasner–Kaloujnine universal embedding theorem states that any group extension of a group $H$ by a group $A$ is isomorphic to a subgroup of the regular wreath product $A \operatorname{Wr} H$. When …
tmh's user avatar
  • 775