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Results tagged with finite-groups
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user 36310
Questions on group theory which concern finite groups.
2
votes
1
answer
373
views
Groups like symmetric group
For sufficiently large n consider this question
Let $G$ be a finite group with the following properties:
$|G|=n!$
$H,K$ are subgroups of $G$ such that $H\cap K=1$ and $H\cong S_{3}$ and $K\cong S_{n …
- 143
2
votes
0
answers
130
views
Generalization of groups with non-connected prime graph
Suppose $G$ is a non-abelian finite group and $\pi(G)=\pi_1(G)\cup \pi_2(G)$ is a disjoint union of all primes dividing $|G|$. Suppose further that for every two elements $g_1,g_2\in G\setminus Z(G)$ …
- 143