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Answers
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50
Why can't a nonabelian group be 75% abelian?
Jul 9 '15 at 19:10
35
How large can the smallest generating set of a group $G$ of order $n$ be?
Dec 3 '15 at 14:06
35
Properties to have matrices that commute in $\mathrm{GL}_n(\mathbb C)$
Apr 19 '14 at 10:13
25
Determinant of sum of positive definite matrices
May 19 '11 at 14:33
21
Failure of a basic fact from Representation Theory
Aug 6 '12 at 23:57
20
Subgroups of GL(2,q)
Mar 19 '12 at 19:13
19
Groups that do not exist
Dec 8 '12 at 11:15
18
Sylow 3-subgroups of symmetric group
Apr 30 '14 at 10:21
18
What is prime power of this equation of p?
May 18 '15 at 16:03
18
How much of character theory can be done without Schur's lemma or the Artin-Wedderburn theorem?
May 23 '13 at 19:49
18
Eigenvalues of nonnegative integer matrices
Nov 16 '12 at 0:33
18
Character free proof that Frobenius kernel is a normal subgroup?
Apr 27 '11 at 12:24
17
The best upper bound for the number of involutions in a finite non-abelian simple group
Mar 3 '14 at 8:46
17
Number of 2-dimensional irreducible representations of a finite group ?
Sep 21 '12 at 21:33
17
How to decide this function takes integer values?
Jun 4 '11 at 8:48
16
solvable groups
Nov 12 '12 at 17:51
16
Groups with triple system of self-normalizing subgroups
Jun 24 '11 at 21:49
15
Is there a non-trivial group G isomorphic to Aut(G)?
Sep 13 '15 at 22:14
15
What are the connections between pi and prime numbers?
Mar 15 '13 at 21:27
15
Characterization of the transfer map in group theory
Dec 18 '11 at 13:45
14
Existence of finite nonabelian groups satisfying certain identities
Aug 24 '14 at 19:09
13
What is modular representation theory for groups good for?
Jan 20 '15 at 18:15
13
Number of involutions in a finite group
Jan 5 '15 at 10:28
13
How can we conclude that $2p\nmid s_{2p}$?
Jan 2 '15 at 12:30
13
Congruence subgroups as abstract groups
Aug 3 '11 at 7:46
13
Is 2-sylow subgroup of a rational group also a rational group?
Jun 8 '11 at 15:29
13
Reference request for projective representations of finite groups over a non-problematic field
May 10 '11 at 14:41
12
Number of generators of a subgroup of a finite simple group
Jun 23 '12 at 22:22
12
Remark on Fermat's Last Theorem by Darmon, Diamond and Taylor
Aug 30 '15 at 12:06
12
Upper bound of |Aut(G)| for a p-group
Apr 9 '15 at 12:00
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