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age | 30 | |
visits | member for | 4 years, 7 months |
seen | 6 hours ago | |
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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 |