User Minimus Heximus

7

27

votes

1

answer

1k

views

A group allowing exactly 7 group topologies

Oct 13 '15 at 6:19 Minimus Heximus 1,075

5

14

votes

1

answer

1k

views

Distributivity of group topologies on $\Bbb Z$

gr.group-theory gn.general-topology topological-groups lattice-theory

Nov 12 '14 at 3:18 Community♦ 1

2

12

votes

1

answer

311

views

Maximum length of a chain of topologies on $\Bbb R$

gn.general-topology counterexamples

Aug 29 '14 at 3:30 Joel David Hamkins 183k

3

9

votes

1

answer

503

views

Existence of infinite groups that are too reluctant to be topological

set-theory gn.general-topology topological-groups

May 10 '14 at 20:54 YCor 40.2k

1

7

votes

1

answer

451

views

Group structure on an arbitrary completely regular topological space that makes $(x,y)\mapsto xy^{-1}$ continuous at $(1,1)$

gr.group-theory gn.general-topology topological-groups

Sep 5 '14 at 11:27 Minimus Heximus 1,075

7

votes

1

answer

484

views

Self-duality in a lattice

lattice-theory

Aug 4 '14 at 11:18 Emil Jeřábek 34.3k

6

votes

1

answer

219

views

Self-duality of the subgroup lattice of $G\times H$

gr.group-theory finite-groups lattice-theory

Jun 8 '15 at 13:45 Frieder Ladisch 6,307

2

5

votes

1

answer

192

views

A group with more than one Hausdorff minimal nontrivial group topologies

gn.general-topology topological-groups

Jan 5 '17 at 9:00 Minimus Heximus 1,075

3

5

votes

0

answers

129

views

Is a successor to a successor to the trivial group topology on an Abelian group, totally bounded?

gn.general-topology examples topological-groups uniform-spaces

Sep 4 '15 at 18:07 Minimus Heximus 1,075

1

5

votes

0

answers

158

views

Group topologies on $\Bbb Z$ with dense open sets in $\Bbb T$

gn.general-topology topological-groups

Oct 2 '14 at 17:48 Minimus Heximus 1,075

1

4

votes

1

answer

134

views

Kind of multiplicative total boundedness in Hausdorff compact rings

gn.general-topology topological-groups counterexamples

Sep 11 '16 at 9:01 Uri Bader 7,753

4

votes

1

answer

279

views

Can an abelian group have a minimal group topology?

gr.group-theory gn.general-topology topological-groups

Feb 20 '15 at 23:25 Ramiro de la Vega 10.8k

3

votes

1

answer

118

views

Existence of more distributive Boolean lattices

lattices order-theory boolean-algebras counterexamples

Oct 17 '18 at 10:52 YCor 40.2k

2

3

votes

1

answer

304

views

A finite distributive lattice which may be represented as the normal subgroup lattice of a supersolvable group

gr.group-theory lattice-theory normal-subgroups

Oct 1 '17 at 5:05 Community♦ 1

3

votes

1

answer

140

views

Totally bounded group topologies on $\Bbb Q$ with trivial intersection of two neighborhoods

gn.general-topology topological-groups uniform-spaces

Oct 4 '14 at 15:50 Ramiro de la Vega 10.8k

2

3

votes

1

answer

255

views

Cancellative semigroup on a distributive lattice

semigroups-and-monoids counterexamples lattice-theory

Sep 27 '14 at 13:02 Emil Jeřábek 34.3k

3

votes

1

answer

185

views

Existence of an infinite finitely generated $p$-group with nontrivial intersection of nontrivial subgroups

gr.group-theory

Jul 27 '14 at 7:33 Community♦ 1

1

3

votes

1

answer

395

views

a characterization for cyclic groups [duplicate]

finite-groups lattice-theory

May 19 '14 at 19:41 Minimus Heximus 1,075

1

2

votes

1

answer

138

views

An atomic solvable Hausdorff topological group with a cardinality greater than that of real line

gr.group-theory topological-groups

Mar 13 '17 at 20:44 Taras Banakh 28.6k

2

votes

1

answer

203

views

Finite sequences which happen to be the sequence of orders of elements of a simple group

nt.number-theory gr.group-theory finite-groups diophantine-equations

Aug 24 '15 at 16:34 Community♦ 1

2

votes

1

answer

191

views

Characterizing Inf and Sup sets

reference-request order-theory

Aug 21 '15 at 22:03 Minimus Heximus 1,075

2

votes

0

answers

103

views

Selecting dense diagonals in $\Bbb T^2$

gr.group-theory gn.general-topology topological-groups

Nov 29 '14 at 18:30 Minimus Heximus 1,075

2

votes

0

answers

324

views

Is there an infinite J-group?

gr.group-theory

Aug 13 '14 at 16:27 Community♦ 1

2

votes

0

answers

100

views

A twisted self-dual subgroup lattice

gr.group-theory lattice-theory

Aug 5 '14 at 6:27 Minimus Heximus 1,075

2

votes

0

answers

130

views

Does $G\times H$ have a dual when $G$ and $H$ have?

reference-request gr.group-theory

Jul 10 '14 at 2:33 Minimus Heximus 1,075

2

votes

1

answer

319

views

generality of the lattice of normal subgroups

gr.group-theory finite-groups lattices counterexamples lattice-theory

Apr 25 '14 at 2:08 Minimus Heximus 1,075

1

vote

0

answers

115

views

Not normal connected component of a right topological group

gn.general-topology topological-groups

Jan 19 '16 at 2:50 Minimus Heximus 1,075

1

vote

1

answer

83

views

Number of continuous characters on an infinite Hausdorff precompact abelian group with exponent $p$

gn.general-topology topological-groups

Jun 2 '15 at 20:37 Community♦ 1

1

vote

3

answers

165

views

Is the poset of all precompact group topologies on an abelian group $G$, order-isomorphic to $\operatorname{Sub}(\hat{G})$?

gr.group-theory gn.general-topology topological-groups

Apr 3 '15 at 3:22 Minimus Heximus 1,075

1

vote

1

answer

117

views

A Hausdorff atom in lattice of group topologies

gn.general-topology examples topological-groups

Feb 7 '15 at 15:40 Eric Wofsey 28.7k

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37 Questions

A group allowing exactly 7 group topologies

Distributivity of group topologies on $\Bbb Z$

Maximum length of a chain of topologies on $\Bbb R$

Existence of infinite groups that are too reluctant to be topological

Group structure on an arbitrary completely regular topological space that makes $(x,y)\mapsto xy^{-1}$ continuous at $(1,1)$

Self-duality in a lattice

Self-duality of the subgroup lattice of $G\times H$

A group with more than one Hausdorff minimal nontrivial group topologies

Is a successor to a successor to the trivial group topology on an Abelian group, totally bounded?

Group topologies on $\Bbb Z$ with dense open sets in $\Bbb T$

Kind of multiplicative total boundedness in Hausdorff compact rings

Can an abelian group have a minimal group topology?

Existence of more distributive Boolean lattices

A finite distributive lattice which may be represented as the normal subgroup lattice of a supersolvable group

Totally bounded group topologies on $\Bbb Q$ with trivial intersection of two neighborhoods

Cancellative semigroup on a distributive lattice

Existence of an infinite finitely generated $p$-group with nontrivial intersection of nontrivial subgroups

a characterization for cyclic groups [duplicate]

An atomic solvable Hausdorff topological group with a cardinality greater than that of real line

Finite sequences which happen to be the sequence of orders of elements of a simple group

Characterizing Inf and Sup sets

Selecting dense diagonals in $\Bbb T^2$

Is there an infinite J-group?

A twisted self-dual subgroup lattice

Does $G\times H$ have a dual when $G$ and $H$ have?

generality of the lattice of normal subgroups

Not normal connected component of a right topological group

Number of continuous characters on an infinite Hausdorff precompact abelian group with exponent $p$

Is the poset of all precompact group topologies on an abelian group $G$, order-isomorphic to $\operatorname{Sub}(\hat{G})$?

A Hausdorff atom in lattice of group topologies