User tom - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-18T22:45:39Z http://mathoverflow.net/feeds/user/30203 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120337/question-on-the-projective-special-unitary-group Question on the projective special unitary group Tom 2013-01-30T16:44:42Z 2013-01-30T17:14:44Z <p>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 $r+1$?</p> http://mathoverflow.net/questions/118646/the-number-of-elements-of-order-k-in-pgl2-q/118653#118653 Answer by Tom for The number of elements of order k in PGL(2, q) Tom 2013-01-11T17:47:04Z 2013-01-11T17:47:04Z <p>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 $k$ is $\phi (k)q(q+1)/2$.</p> http://mathoverflow.net/questions/117193/suzuki-group-order Suzuki group order Tom 2012-12-25T09:58:26Z 2013-01-04T18:57:58Z <p>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 $|^{2}B_{2}(q_{1})|\mid |^{2}B_{2}(q_{2})|$, if this implies $q_{1}=q_{2}$ or not?</p> http://mathoverflow.net/questions/120337/question-on-the-projective-special-unitary-group/120342#120342 Comment by Tom Tom 2013-01-31T04:52:07Z 2013-01-31T04:52:07Z @Nick: Thank you so much.