Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with finite-groups
Search options not deleted
user 37803
Questions on group theory which concern finite groups.
1
vote
2
answers
176
views
Standard involutions conjugate to the negative of a standard involution in a Coxeter group
Consider a finite irreducible Coxeter group $W$ with a fixed generator set $S$. Every involution in $W$ is conjugate to a standard involution $c_I$, for some subset $I\subset S$. For example, this st …
2
votes
Standard involutions conjugate to the negative of a standard involution in a Coxeter group
Partial answer
Concerning the particular example in the question, $-c_{\{1\}}$ is conjugate to $c_{\{1,3,4,5\}}$, and $-c_{\{5\}}$ is conjugate to $-c_{\{1,2,3,4\}}$. This can almost be deduced from …
0
votes
Standard involutions conjugate to the negative of a standard involution in a Coxeter group
Here is another approach to identify the conjugay class of the specific involution $-c_{\{1\}}$ in the question. The approach is complementary to my other answer in that it also allows the determina …
3
votes
Reference for embeddings of reflection groups (related to folding ADE Coxeter graphs)?
One reference for these embeddings is the first section of
[Stein] Robert Steinberg, Endomorphisms of linear algebraic groups.
Memoirs of the American Mathematical Society, No. 80
This does not …