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 15428
Questions on group theory which concern finite groups.
0
votes
1
answer
149
views
Lower bound for $[ H : H \cap xHx^{-1} ]$
Let $H$ be a subgroup of a finite group $G$, and let $N = N_G(H)$ be the normalizer of $H$ in $G$.
For $x \in G$ is there a lower bound for $[ H : H \cap xHx^{-1} ]$? If $x \in N$ this index is 1, o …
- 97
7
votes
1
answer
3k
views
Sylow subgroups invariant under an automorphism
Let $G$ be a finite group and $\sigma$ an automorphism of $G$. Suppose $p$ is a prime and $\sigma$ has prime order $q \neq p$. It's easy to see that $\sigma$ fixes a Sylow $p$-subgroup of $G$ if $\s …
- 97