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Questions about the branch of algebra that deals with groups.
4
votes
1
answer
209
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Extensions of $\Bbb Z_3$ by $PGL(2,q)$ where $q$ is odd
Let $q$ be odd. If $G$ is a finite group such that $G$ has a normal subgroup $H$ of order $3$ such that $G/H\cong {\rm PGL}(2,q)$, what can we say about $G$. Is it true in general that $G\cong {\Bbb Z …
1
vote
0
answers
82
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associativity of the extension of finie groups [closed]
Following my previous question I have two questions:
1.the extensions of the group is associative or not, i.e. as we know by the notations of atlas if $S={\rm PSL}(2,q)$, where $q=p^f>9$, then $2.{\ …