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Results tagged with permutation-groups
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user 128140
For groups represented as permutations. Group transitivity, rank 3 groups, orbits and suborbits, stablizers, permutation characters, primitivity are all on-topic.
4
votes
Is a point stabilizer in the Mathieu group $M_{20}$ half-transitive?
I certainly appreciate Max's answer (especially the geometric interpretation) and have accepted it as such. However, as is so usual, writing up the question caused me to focus on it with greater clar …
- 1,068
4
votes
3
answers
326
views
Is a point stabilizer in the Mathieu group $M_{20}$ half-transitive?
The background: We recall/define the following:
$\Omega_n=\{1,\dots,n\}$.
$M_n$ is the Mathieu group of degree $n$. We follow the Wikipedia article "Mathieu group" and define these groups for each …
- 1,068
31
votes
2
answers
1k
views
Does the symmetric group $S_{10}$ factor as a knit product of symmetric subgroups $S_6$ and ...
By knit product (alias: Zappa-Szép product), I mean a product $AB$ of subgroups for which $A\cap B=1$. In particular, note that neither subgroup is required to be normal, thus making this a generaliz …
- 1,068