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Results tagged with gr.group-theory
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user 22677
Questions about the branch of algebra that deals with groups.
13
votes
2
answers
767
views
The prime divisors of a simple group
Let $G$ be a finite simple group such that $\pi (G)=\pi (A_{n})$, where $n\geq 23$ ($\pi (G)$ is the set of prime divisors of the order of $G$). Is it true that $G$ is isomorphic to an alternating gro …
- 221
5
votes
3
answers
645
views
Reference request for the number of Sylow p-subgroups
Let $G$ be simple group of Lie type or Alternating group. I need reference for find the number of Sylow $p$-subgroup $G$ for every $p$. Thanks a lot.
- 221
4
votes
3
answers
625
views
Group PGL(2,p) where p is prime
Is there solvable group $G$ such that prime graph $G$ equal to prime graph $PGL(2,p)$
and $|G|=|PSL(2,p)|$?
- 221