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A nomadic postdoc, currently in Australia.

Aug
26
revised Equations and random subgroups in compact groups
added 596 characters in body
Aug
14
asked Equations and random subgroups in compact groups
Aug
7
comment A question on conjugacy classes of central involutions in a finite group
The question reduces to fusion in a Sylow $2$-subgroup $S$ of $G$. We want to know, given $a \in S, b \in Z(S)$ distinct involutions that are in a given conjugacy class $C$ of $G$, does $ab$ lie in $C$? In other words, is $C'$ a union of cosets of $C' \cap Z(S)$, where $C' = (C \cup \{1\}) \cap S$? (We certainly need $C' \cap Z(S)$ to be a non-trivial group.)
Aug
6
comment A question on conjugacy classes of central involutions in a finite group
The condition is certainly necessary, since the product of two involutions is an involution if and only if they are distinct and commute.
Aug
6
revised Faithful representations of free pro-p groups
added 344 characters in body
Aug
6
answered Faithful representations of free pro-p groups
Jul
25
comment Most Regularity of a Polygon
According to the Wikipedia article, the corners of the cube and dodecahedron do not give optimal configurations. So it's not just a matter of having the 'most regularity' in how they are arranged.
Jul
25
comment quasiprimitive non-solvable groups
@PeterMueller: Ah yes. I was thrown by 'quasiprimitive group' and 'action' without any further qualification, which I have usually seen in the context of permutation groups, but the Manz and Wolf reference is indeed about quasiprimitive representations/characters.
Jul
25
comment quasiprimitive non-solvable groups
This paper is probably a good place to start: researchgate.net/publication/…
Jul
15
comment Products of subgroups that generate a finite group
There are also Zappa-Szep products, that is, groups of the form $AB$ for subgroups $A$ and $B$ such that $A \cap B$ is trivial. See for instance math.stackexchange.com/questions/107781/…
Jul
14
asked Separation of topological group elements by invariant neighbourhooods
Jul
13
answered Infimum of two group topologies
Jul
13
comment Reading Papers in a Language you don't Speak
Google Translate is a poor source of definitions for technical jargon, but Wikipedia is not bad. You should also make an effort to learn standard expressions, like "Soit... Alors..." and "genau dann, wenn...". Thankfully there are not many expressions to learn, as mathematical writing tends to be very 'stiff' and formulaic compared to ordinary prose.
Jul
12
comment Products of subgroups that generate a finite group
We have $|H_1H_2| = |H_1||H_2|/|H_1 \cap H_2|$, so you can determine whether $G = H_1H_2$ just by looking at orders of subgroups. Also, knowing how many steps it takes to cover the commutator group $[H_1,H_2]$ will give a good estimate, since $G = [H_1,H_2]H_1H_2$.
Jul
12
revised Locally compact vs. compactly generated in group theory
Answered original question
Jul
7
asked The set of (property) elements of a locally compact group is closed
Jul
7
answered What are the best settings for the large scale geometry of locally compact groups?
Jul
2
awarded  Inquisitive
Jul
2
awarded  Curious
Jun
17
awarded  Self-Learner