Mart

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Name Mart
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Seen May 12 at 13:21
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Jan
12
comment The number of elements of order k in PGL(2, q)
@Wei Zhou: By the sizes of conjugacy classes of PGL the size of the conjugacy class of an order-k cyclic subgroup $C$ must be $q(q-1)$ or $q(q+1)$.
Jan
12
awarded  Commentator
Jan
11
comment The number of elements of order k in PGL(2, q)
Now I know what is the size of the conjugacy class of an order-k cyclic subgroup C, but still I don't know what is the number of conjugacy classes of such subgroups C. By Tom's answer it must be $\phi (k)/2$. But why? Can anybody help me?
Jan
11
comment The number of elements of order k in PGL(2, q)
@Tom: I don't know you how get the number of elements of order k.
Jan
11
comment The number of elements of order k in PGL(2, q)
@Michael Zieve: Thank you. If possible give me more details of your answer.
Jan
11
asked The number of elements of order k in PGL(2, q)
Dec
31
comment A question on almost simple groups
@Geoff Robinson: Thank you very much, it was most helpful!
Dec
30
comment A question on almost simple groups
@Geoff Robinson: Thanks. By Derek's answer if $S\unlhd G$ with $S$ simple and $G\leq Aut(S)$, then $p$ is prime divisor of $S$. Whether by your answer it implies that $p$ is prime divisor of $S$?
Dec
30
awarded  Student
Dec
30
asked A question on almost simple groups
Dec
4
awarded  Scholar
Dec
4
comment Prime divisor of finite group
@Arturo Magindin: Thank you so much for your answer.
Dec
3
comment Prime divisor of finite group
@Arturo Magidin: Thanks. Note that $G$ is not $p$-group.
Dec
3
asked Prime divisor of finite group