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Results tagged with topological-groups
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user 12858
A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).
12
votes
1
answer
919
views
Non-isomorphic two-transitive permutation groups with isomorphic point stabilizers
The permutation groups $A = PSL(2,7)$ with its natural action on the projective line $\mathbb{P}^1(\mathbb{F}_7)$ and $B = A\Gamma L(1,8)$ with its natural action on the affine line $\mathbb{F}_8$ hav …
- 6,614
4
votes
Accepted
Examples of non-discrete, cocompact subgroups
You can find many such examples among groups acting on trees.
Let $T$ be a $k$-regular tree and let $G$ be the subgroup of $\operatorname{Aut}(T)$ of automorphisms stabilizing each of the 2 parts of t …
- 6,614