Question

Showing a Group Can Be Totally Ordered

score 44 · Answer 1 · 2018-11-04 23:19:38

44

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Showing a Group Can Be Totally Ordered

Published on 04 Nov 2018 - 23:19

score 129 · Answer 2 · 2018-11-18 14:32:27

129

Views

Why is the decomposition of $\operatorname{Tor}(M)$ into cyclic modules a "subset" of the decomposition of $M$?

Published on 18 Nov 2018 - 14:32

score 79 · Answer 3 · 2018-11-21 13:44:53

79

Views

Prove that $\langle x,y,|x^2,y^2\rangle$ is an infinite group

Published on 21 Nov 2018 - 13:44

score 138 · Answer 4 · 2026-03-23 08:06:47

138

Views

Let $R$ be a finitely generated subring of a number field. Is $R/I$ finite for every non-zero ideal of $R$?

Published on 23 Mar 2026 - 8:06

score 271 · Answer 5 · 2026-03-25 09:47:15

271

Views

Is a finitely generated metrizable group discrete?

Published on 25 Mar 2026 - 9:47

score 42 · Answer 6 · 2026-03-21 23:07:45

42

Views

Implications of a local isomorphism on discrete subgroups and Kazhdan property (T)

Published on 21 Mar 2026 - 23:07

score 484 · Answer 7 · 2026-03-24 16:45:44

484

Views

Index of subgroups in residually finite groups

Published on 24 Mar 2026 - 16:45

score 135 · Answer 8 · 2026-03-25 07:49:05

135

Views

Show that $\mathbb{Z} = \langle a, b \mid a^{12} = b,\ ab = ba \rangle$ has dead end elements

Published on 25 Mar 2026 - 7:49

score 116 · Answer 9 · 2018-12-11 02:31:20

116

Views

Let $A$ be an abelian finitely generated free group and $A/B$ be a torsion group. Show that $rank(A)=rank(B)$.

Published on 11 Dec 2018 - 2:31

score 125 · Answer 10 · 2018-12-19 02:49:03

125

Views

What finite non-abelian group is generated by $\operatorname{diag}(1,w,w^2,\ldots,w^{N-1})$ (with $w=e^{2\pi i/N}$) and a cyclic permutation matrix?

Published on 19 Dec 2018 - 2:49

score 98 · Answer 11 · 2026-03-25 01:22:25

98

Views

Index of a common normal core

Published on 25 Mar 2026 - 1:22

score 1.6k · Answer 12 · 2018-12-22 11:43:44

1.6k

Views

Determine maximal ideals of $\mathbb R[x]/(x^2)$

Published on 22 Dec 2018 - 11:43

score 291 · Answer 13 · 2026-03-25 11:02:27

291

Views

Free groups are residually of rank 2

Published on 25 Mar 2026 - 11:02

score 508 · Answer 14 · 2019-01-02 05:58:41

508

Views

On injective module homomorphism $M^m \to M^n$ for a faithful, finitely generated, non-zero module $M$ over a commutative ring

Published on 02 Jan 2019 - 5:58

score 46 · Answer 15 · 2019-01-02 12:08:54

46

Views

Distinct terms in Ascending or descending chain of ideals $k-$algebra R which is also a finite dimensional vector space.

Published on 02 Jan 2019 - 12:08

List Question

Showing a Group Can Be Totally Ordered

Why is the decomposition of $\operatorname{Tor}(M)$ into cyclic modules a "subset" of the decomposition of $M$?

Prove that $\langle x,y,|x^2,y^2\rangle$ is an infinite group

Let $R$ be a finitely generated subring of a number field. Is $R/I$ finite for every non-zero ideal of $R$?

Is a finitely generated metrizable group discrete?

Implications of a local isomorphism on discrete subgroups and Kazhdan property (T)

Index of subgroups in residually finite groups

Show that $\mathbb{Z} = \langle a, b \mid a^{12} = b,\ ab = ba \rangle$ has dead end elements

Let $A$ be an abelian finitely generated free group and $A/B$ be a torsion group. Show that $rank(A)=rank(B)$.

What finite non-abelian group is generated by $\operatorname{diag}(1,w,w^2,\ldots,w^{N-1})$ (with $w=e^{2\pi i/N}$) and a cyclic permutation matrix?

Index of a common normal core

Determine maximal ideals of $\mathbb R[x]/(x^2)$

Free groups are residually of rank 2

On injective module homomorphism $M^m \to M^n$ for a faithful, finitely generated, non-zero module $M$ over a commutative ring

Distinct terms in Ascending or descending chain of ideals $k-$algebra R which is also a finite dimensional vector space.

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