User Alireza Abdollahi

14 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

810 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

436 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

531 views

Nilpotency class of a certain finite 2-group

asked Nov 7, 2011 at 7:04

9 votes

1 answer

707 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

1k views

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

asked Jan 27, 2012 at 11:57

8 votes

1 answer

562 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

252 views

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

asked Aug 30, 2015 at 8:04

6 votes

1 answer

360 views

Zero divisors in complex group algebras of residually finite groups

asked Oct 24, 2018 at 11:20

6 votes

0 answers

219 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

0 answers

155 views

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

asked May 27, 2015 at 7:11

6 votes

1 answer

325 views

A finitely presented group with two simple relations

asked Jun 7, 2015 at 14:41

5 votes

1 answer

729 views

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

asked Nov 1, 2013 at 19:38

5 votes

0 answers

250 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

866 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

232 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

374 views

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

asked Nov 4, 2011 at 20:09

4 votes

0 answers

168 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

186 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

167 views

Solvable groups in which all subgroups are supplemented

asked Apr 27, 2013 at 15:44

3 votes

0 answers

195 views

Vector spaces over a field of prime order with certain hyperplanes

asked Jan 16, 2012 at 21:31

3 votes

1 answer

647 views

Strongly regular graphs with the same parameters as Paley graph

asked Jan 22, 2013 at 19:08

3 votes

1 answer

862 views

Continuous function defined by measurable sets

asked Nov 15, 2019 at 8:32

3 votes

0 answers

59 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

232 views

Computing the Edge Chromatic Polynomial of a graph

asked Sep 16, 2015 at 19:50

3 votes

0 answers

179 views

Nilpotent Groups of Generalized Prime Exponent

asked Sep 17, 2015 at 8:48

3 votes

0 answers

89 views

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

asked Feb 20, 2016 at 13:03

3 votes

0 answers

86 views

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

asked May 24, 2016 at 15:16

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

Zero divisors in complex group algebras of residually 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?

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

Continuous function defined by measurable sets

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

Computing the Edge Chromatic Polynomial of a graph

Nilpotent Groups of Generalized Prime Exponent

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

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