User Alireza Abdollahi

13 votes

3 answers

1k views

Does the Alternating group of degree $n>7$ have exactly one irreducible character of degree $n-1$?

asked Nov 9, 2013 at 19:52

13 votes

2 answers

800 views

Torsion-freeness of two groups with 2 generators and 3 relators and Kaplansky Zero Divisor Conjecture

asked Feb 23, 2016 at 13:58

10 votes

2 answers

416 views

Groups with no bounds on the size of abelian subgroups without infinite ones

asked Nov 15, 2011 at 19:03

9 votes

3 answers

510 views

Nilpotency class of a certain finite 2-group

asked Nov 7, 2011 at 7:04

9 votes

1 answer

648 views

History of a conjecture/problem non-inner automorphisms of order p in finite p-groups

asked Nov 11, 2011 at 20:47

9 votes

1 answer

2k views

The line graphs of complete graphs and Cayley graphs

asked Dec 3, 2013 at 20:32

8 votes

2 answers

884 views

A flag complex is contractible iff the underlying graph is....?

asked Jan 27, 2012 at 11:57

8 votes

1 answer

495 views

The parity of the full automorphism group order of finite non-abelian groups of prime exponent

asked Jan 18, 2016 at 6:45

6 votes

2 answers

240 views

Zero divisors with support of size 3 in group algebras of finite groups

asked Aug 30, 2015 at 8:04

6 votes

0 answers

217 views

Is always the ratio (number of commuting pairs of elements in a ring or a Lie algebra)/(the size of the ring or the Lie algebra) integer?

asked Jan 10, 2016 at 11:58

6 votes

1 answer

323 views

Zero divisors in complex group algebras of residually finite groups

asked Oct 24, 2018 at 11:20

6 votes

0 answers

152 views

The possibility of a symmetric difference in a torsion-free group

asked May 27, 2015 at 7:11

6 votes

1 answer

314 views

A finitely presented group with two simple relations

asked Jun 7, 2015 at 14:41

5 votes

1 answer

690 views

Finitely generated solvable groups all of whose abelian normal subgroups are finite

asked Nov 1, 2013 at 19:38

5 votes

0 answers

234 views

Does Kaplansky's Zero Divisor Conjecture hold valid for (torsion-free) residually finite groups?

asked Apr 23, 2015 at 5:29

5 votes

2 answers

813 views

Can the friendship graph be determind by its adjacency spectrum?

asked Aug 6, 2012 at 19:03

4 votes

3 answers

2k views

Factorial-inequalities

asked Dec 24, 2011 at 17:51

4 votes

1 answer

231 views

Finite groups having no dihedral subgroup of order $2p$ for any odd prime $p$

asked Mar 23, 2013 at 10:56

4 votes

2 answers

352 views

A Min Max problem for graphs? Is it well-known?

asked Nov 4, 2011 at 20:09

4 votes

0 answers

159 views

Minimal number of defining relators of a finite $p$-group on a minimal generating set

asked Jun 16, 2015 at 11:17

3 votes

1 answer

184 views

A possible presentation with 2 generators and 2 relators for $C_4 \cdot D_8$

asked Jun 18, 2015 at 6:36

3 votes

0 answers

165 views

Solvable groups in which all subgroups are supplemented

asked Apr 27, 2013 at 15:44

3 votes

0 answers

192 views

Vector spaces over a field of prime order with certain hyperplanes

asked Jan 16, 2012 at 21:31

3 votes

1 answer

557 views

Strongly regular graphs with the same parameters as Paley graph

asked Jan 22, 2013 at 19:08

3 votes

0 answers

57 views

Zero divisors with support size 3 in complex group algebras of residually finite groups

asked Oct 24, 2018 at 15:58

3 votes

0 answers

84 views

Cubic Directed Cayley graphs of 2-generated torsion-free groups

asked May 24, 2016 at 15:16

3 votes

0 answers

164 views

Existence of any strong form of Folner condition for elementary amenable groups

asked Jan 7, 2017 at 12:24

3 votes

1 answer

656 views

Continuous function defined by measurable sets

asked Nov 15, 2019 at 8:32

3 votes

0 answers

171 views

Nilpotent Groups of Generalized Prime Exponent

asked Sep 17, 2015 at 8:48

3 votes

0 answers

87 views

Infinite finitely generated groups whose Frattini factors are Klein 4-group

asked Feb 20, 2016 at 13:03

Stack Exchange Network

49 Questions

Does the Alternating group of degree $n>7$ have exactly one irreducible character of degree $n-1$?

Torsion-freeness of two groups with 2 generators and 3 relators and Kaplansky Zero Divisor Conjecture

Groups with no bounds on the size of abelian subgroups without infinite ones

Nilpotency class of a certain finite 2-group

History of a conjecture/problem non-inner automorphisms of order p in finite p-groups

The line graphs of complete graphs and Cayley graphs

A flag complex is contractible iff the underlying graph is....?

The parity of the full automorphism group order of finite non-abelian groups of prime exponent

Zero divisors with support of size 3 in group algebras of finite groups

Is always the ratio (number of commuting pairs of elements in a ring or a Lie algebra)/(the size of the ring or the Lie algebra) integer?

Zero divisors in complex group algebras of residually finite groups

The possibility of a symmetric difference in a torsion-free group

A finitely presented group with two simple relations

Finitely generated solvable groups all of whose abelian normal subgroups are finite

Does Kaplansky's Zero Divisor Conjecture hold valid for (torsion-free) residually finite groups?

Can the friendship graph be determind by its adjacency spectrum?

Factorial-inequalities

Finite groups having no dihedral subgroup of order $2p$ for any odd prime $p$

A Min Max problem for graphs? Is it well-known?

Minimal number of defining relators of a finite $p$-group on a minimal generating set

A possible presentation with 2 generators and 2 relators for $C_4 \cdot D_8$

Solvable groups in which all subgroups are supplemented

Vector spaces over a field of prime order with certain hyperplanes

Strongly regular graphs with the same parameters as Paley graph

Zero divisors with support size 3 in complex group algebras of residually finite groups

Cubic Directed Cayley graphs of 2-generated torsion-free groups

Existence of any strong form of Folner condition for elementary amenable groups

Continuous function defined by measurable sets

Nilpotent Groups of Generalized Prime Exponent

Infinite finitely generated groups whose Frattini factors are Klein 4-group