Question

Finitely Presented is Preserved by Extension

score 900 · Answer 1 · 2014-05-29 10:51:03

900

Views

Finitely Presented is Preserved by Extension

Published on 29 May 2014 - 10:51

score 425 · Answer 2 · 2014-05-30 11:20:28

425

Views

Showing that a group with a presentation is free/not free

Published on 30 May 2014 - 11:20

score 115 · Answer 3 · 2014-06-08 05:54:23

115

Views

Show that $\langle a,b | ababa \rangle $ is a presentation of $\mathbb{Z}$.

Published on 08 Jun 2014 - 5:54

score 794 · Answer 4 · 2014-06-11 15:01:19

794

Views

A finitely presented group $G$ is given by a presentation $\langle S,R\rangle$, where $R$ is finite. Show that $S$ is finite.

Published on 11 Jun 2014 - 15:01

score 2k · Answer 5 · 2014-06-14 06:47:39

2k

Views

Suppose $G$ is a group generated by elements $x$ and $y$ where $xy^2 = y^3x$ and $yx^3 = x^2y$ What can you prove about $G$?

Published on 14 Jun 2014 - 6:47

score 189 · Answer 6 · 2026-03-25 15:48:24

189

Views

Presentations that make the Todd-Coxeter algorithm blow up

Published on 25 Mar 2026 - 15:48

score 163 · Answer 7 · 2014-06-22 11:09:44

163

Views

Explicit description for $G=\langle a,b,c\mid[a,b]=b\,,\,[b,c]=c\,,\,[c,a]=a\rangle$

Published on 22 Jun 2014 - 11:09

score 798 · Answer 8 · 2014-07-21 16:34:02

798

Views

Cyclic Group Presentation

Published on 21 Jul 2014 - 16:34

score 135 · Answer 9 · 2014-07-24 09:06:37

135

Views

Group elements $x$ and $y$ satisfying $x^2 = y^2x^2y$ and $yx^{-1}y^2 = x^7$ commute.

Published on 24 Jul 2014 - 9:06

score 109 · Answer 10 · 2014-07-25 14:01:22

109

Views

Determine the center of this finitely presented group.

Published on 25 Jul 2014 - 14:01

score 99 · Answer 11 · 2014-07-25 17:46:42

99

Views

Another Presentation of Certain Cyclic Groups

Published on 25 Jul 2014 - 17:46

score 428 · Answer 12 · 2014-08-18 02:39:04

428

Views

Proving Finiteness of Group from Presentation

Published on 18 Aug 2014 - 2:39

score 128 · Answer 13 · 2014-09-16 10:02:20

128

Views

Presentations representing different groups.

Published on 16 Sep 2014 - 10:02

score 554 · Answer 14 · 2014-09-19 08:46:45

554

Views

Conditions for a finitely generated group with finite ordered generators

Published on 19 Sep 2014 - 8:46

score 115 · Answer 15 · 2014-10-02 07:40:25

115

Views

Finding a presentation of the quarternion group. (When do I know if I have given enough relations?)

Published on 02 Oct 2014 - 7:40

List Question

Finitely Presented is Preserved by Extension

Showing that a group with a presentation is free/not free

Show that $\langle a,b | ababa \rangle $ is a presentation of $\mathbb{Z}$.

A finitely presented group $G$ is given by a presentation $\langle S,R\rangle$, where $R$ is finite. Show that $S$ is finite.

Suppose $G$ is a group generated by elements $x$ and $y$ where $xy^2 = y^3x$ and $yx^3 = x^2y$ What can you prove about $G$?

Presentations that make the Todd-Coxeter algorithm blow up

Explicit description for $G=\langle a,b,c\mid[a,b]=b\,,\,[b,c]=c\,,\,[c,a]=a\rangle$

Cyclic Group Presentation

Group elements $x$ and $y$ satisfying $x^2 = y^2x^2y$ and $yx^{-1}y^2 = x^7$ commute.

Determine the center of this finitely presented group.

Another Presentation of Certain Cyclic Groups

Proving Finiteness of Group from Presentation

Presentations representing different groups.

Conditions for a finitely generated group with finite ordered generators

Finding a presentation of the quarternion group. (When do I know if I have given enough relations?)

Trending Questions

Popular # Hahtags

Popular Questions