Question

Does there exist a measure on an infinite cyclic group that assigns each coset its natural density?

score 43 · Answer 1 · 2019-09-04 15:36:34

43

Views

Does there exist a measure on an infinite cyclic group that assigns each coset its natural density?

Published on 04 Sep 2019 - 15:36

score 245 · Answer 2 · 2019-09-06 16:22:59

245

Views

Infinite group with finitely many conjugacy classes of cardinality $n$.

Published on 06 Sep 2019 - 16:22

score 88 · Answer 3 · 2019-09-22 21:53:19

88

Views

Does every element of $ \Pi_{n=1}^\infty{\mathbb{Z}_i} $ have finite order?

Published on 22 Sep 2019 - 21:53

score 443 · Answer 4 · 2019-09-26 07:28:36

443

Views

Can the group $\mathbb Z \times \mathbb Z$ be written as union of finitely many proper subgroups of it?

Published on 26 Sep 2019 - 7:28

score 392 · Answer 5 · 2019-09-28 04:15:16

392

Views

Infinite group whose every element is of order $4$?

Published on 28 Sep 2019 - 4:15

score 7.2k · Answer 6 · 2014-03-28 22:52:25

7.2k

Views

If $K \leq H \leq G$, show that $[G:K] = [G:H][H:K]$.

Published on 28 Mar 2014 - 22:52

score 1.5k · Answer 7 · 2014-04-05 05:09:00

1.5k

Views

The number of elements of order $2$ in an infinite group

Published on 05 Apr 2014 - 5:09

score 288 · Answer 8 · 2014-04-20 03:38:01

288

Views

let $G$ be an infinite group of the form $G_1 \oplus G_2 \oplus \dots \oplus G_n$ , $n>1$. Prove that $G$ is not cyclic

Published on 20 Apr 2014 - 3:38

score 154 · Answer 9 · 2014-05-10 21:53:07

154

Views

An infinite non-Abelian group with an involutive automorphism that preserves only the identity?

Published on 10 May 2014 - 21:53

score 752 · Answer 10 · 2014-05-18 17:10:39

752

Views

Show that a group does not have a composition series

Published on 18 May 2014 - 17:10

score 761 · Answer 11 · 2014-05-22 04:50:42

761

Views

On prüfer group

Published on 22 May 2014 - 4:50

score 117 · Answer 12 · 2014-05-23 19:02:00

117

Views

Models of infinite groups and 'Group-like' objects

Published on 23 May 2014 - 19:02

score 337 · Answer 13 · 2014-05-29 18:03:33

337

Views

Lower central series of a nilpotent group

Published on 29 May 2014 - 18:03

score 185 · Answer 14 · 2026-03-25 09:26:58

185

Views

Nilpotent group with torsion divisible abelian quotient

Published on 25 Mar 2026 - 9:26

score 1.6k · Answer 15 · 2014-06-03 09:21:01

1.6k

Views

Infinite abelian group counterexample

Published on 03 Jun 2014 - 9:21

List Question

Does there exist a measure on an infinite cyclic group that assigns each coset its natural density?

Infinite group with finitely many conjugacy classes of cardinality $n$.

Does every element of $ \Pi_{n=1}^\infty{\mathbb{Z}_i} $ have finite order?

Can the group $\mathbb Z \times \mathbb Z$ be written as union of finitely many proper subgroups of it?

Infinite group whose every element is of order $4$?

If $K \leq H \leq G$, show that $[G:K] = [G:H][H:K]$.

The number of elements of order $2$ in an infinite group

let $G$ be an infinite group of the form $G_1 \oplus G_2 \oplus \dots \oplus G_n$ , $n>1$. Prove that $G$ is not cyclic

An infinite non-Abelian group with an involutive automorphism that preserves only the identity?

Show that a group does not have a composition series

On prüfer group

Models of infinite groups and 'Group-like' objects

Lower central series of a nilpotent group

Nilpotent group with torsion divisible abelian quotient

Infinite abelian group counterexample

Trending Questions

Popular # Hahtags

Popular Questions