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Results tagged with gr.group-theory
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user 29634
Questions about the branch of algebra that deals with groups.
3
votes
2
answers
558
views
A question on almost simple groups
We know that if $G$ is a simple group with $p+1$ Sylow $p$-subgroups, then $G$ is 2-transitive. Now let $G$ be almost simple group with $p+1$ Sylow $p$-subgroups. Is $G$ 2-transitive group?
- 37
0
votes
2
answers
932
views
The number of elements of order k in PGL(2, q)
We know PGL(2, $q$) has elements of order $q+1$ or $q-1$. Suppose $k\neq 1$, $2$ divide $q+1$ or $q-1$. It is clear that PGL(2, $q$) has an elements of order $k$. I would like to know what is the numb …
- 37