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Results tagged with gr.group-theory
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user 22326
Questions about the branch of algebra that deals with groups.
7
votes
2
answers
354
views
Prime divisors of the order of an automorphism group
Let $G$ be an unsolvable group of order $(p+1)t$, where $t\mid (p-1)/2$. Is it true that $p$ does not divide $|Aut(G)|$?
- 224
2
votes
1
answer
617
views
A group 2-transitive
We know all 2-transitive simple groups by Dixon's book (Permutation groups).
Now let $G$ be finite simple group $2$-transitive and $p(p^{2}-1)/2$ divides
order $G$ and also $\pi (G)\subseteq \pi (p(p …
- 224
-1
votes
1
answer
440
views
Order of normalizer Sylow 5-subgroup in Suzuki group
It known the Suzuki group $Sz(q)$, where $q=2^{2n+1}$ is of order $q^2(q^{2}+1)(q-1)$. By $2^{2}$ $=-1$ mod $5$, then $2^{2n}$ $=(-1)^{n}$ mod $5$. So $q=2^{2n+1}$ $=2(-1)^{n}$ mod $5$ and so $q^{2}+1 …
- 224