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location  United Kingdom  
age  61  
visits  member for  4 years 
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13h

answered  Open problems/questions in representation theory and around ? 
1d

comment 
A table for irreducible integral representation of finite cyclic groups
@ToddLeason : I don't myself, but others may. 
1d

revised 
A table for irreducible integral representation of finite cyclic groups
clarification 
1d

answered  A table for irreducible integral representation of finite cyclic groups 
Apr 24 
awarded  Nice Answer 
Apr 24 
comment 
Does every group that satisfies the maximal permutizer condition then satisfy the permutizer condition?
@DerekHolt : Yes, you are right I was mistaken. Thanks for pointing it out. 
Apr 18 
comment 
Reference request about the representations of the group $PSL_2(\mathbb{F}_q)$
It's complex character table is well known, I think it was known to Frobenius. 
Apr 17 
comment 
solvable groups
We have in particular that $M = N_{G}(P)$ for each Sylow $p$subgroup $P$ of $M$ whenever $p$ is a prime divisor of $M$. This implies easily that each such $P$ is a Sylow $p$subgroup of $G$. 
Apr 16 
awarded  Yearling 
Apr 10 
comment 
Rank of a special linear group over a finite field
In Steinberg's case they are explicitly described. One is the longest element of the Weyl group, for example. 
Apr 10 
answered  Rank of a special linear group over a finite field 
Apr 10 
comment 
Rank of a special linear group over a finite field
You mean when SL(n,F) is perfect perhaps? 
Apr 10 
comment 
Upper bound of Aut(G) for a pgroup
I think perhaps you mean to ask when ${\rm Aut}(G)$ is a $p$group, for it is never the case when $G$ is a finite $p$group of order greater than $2$ that ${\rm Aut}(G)$ has order coprime to $p(p1).$ 
Apr 9 
awarded  Nice Answer 
Apr 9 
revised 
Upper bound of Aut(G) for a pgroup
typo 
Apr 9 
answered  Upper bound of Aut(G) for a pgroup 
Apr 4 
answered  Finding commuting matrices 
Mar 25 
comment 
Is there a nonabelian finite simple group with Grothendieck ring of multiplicity one?
@DaveWitteMorris : Well spotted. I am not sure at the moment, but I imagine there are others who will know. Notice that the inequality can hold when $G$ is quasisimple. For example, when $G = {\rm SL}(2,5)$ we get $k = 9$ and $b = 6.$ 
Mar 25 
revised 
Is there a nonabelian finite simple group with Grothendieck ring of multiplicity one?
Expanded 
Mar 25 
comment 
Is there a nonabelian finite simple group with Grothendieck ring of multiplicity one?
@JimHumphreys : Oops, sorry, you were right, I misunderstood the sense. 