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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 p-group
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 $p(p-1).$
Apr
9
awarded  Nice Answer
Apr
9
revised Upper bound of |Aut(G)| for a p-group
typo
Apr
9
answered Upper bound of |Aut(G)| for a p-group
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.