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Results tagged with gr.group-theory
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user 30203
Questions about the branch of algebra that deals with groups.
-1
votes
1
answer
140
views
Question on the projective special unitary group
Let $G$=PSU$(3,q)$ be projective special unitary group where $q$ is prime
power. I would like to know why there is not any prime $r$ such that the
number of Sylow $r$-subgroups of $G$ is $r+1$?
- 36
0
votes
Accepted
The number of elements of order k in PGL(2, q)
By the sizes of conjugacy calasses of PGL(2, q), if $k$ divides $q+1$, then the number of elements of order $k$ is $\phi (k)q(q-1)/2$ and if $k$ divides $q-1$, then the number of elements of order $k$ …
- 36
0
votes
2
answers
466
views
Suzuki group order
Let $^{2}B_{2}(q)$ be Suzuki simple group where $q=2^{2n+1}$. I want to know order of two Suzuki simple groups can divide each other? In other words, suppose that $|^{2}B_{2}(q_{1})|\mid |^{2}B_{2}(q_ …
- 36