Question

Showing $\langle x,y\mid x^2, y^3, xyxy^{-1}, (xy)^7\rangle$ is trivial.

score 183 · Answer 1 · 2026-03-23 04:55:12

183

Views

Showing $\langle x,y\mid x^2, y^3, xyxy^{-1}, (xy)^7\rangle$ is trivial.

Published on 23 Mar 2026 - 4:55

score 1.1k · Answer 2 · 2019-04-22 23:09:10

1.1k

Views

Construct a nonabelian group of order 44

Published on 22 Apr 2019 - 23:09

score 78 · Answer 3 · 2026-03-23 14:04:42

78

Views

If $g^5 = h^7$ in a free group, then $g$ and $h$ are in a cyclic subgroup

Published on 23 Mar 2026 - 14:04

score 153 · Answer 4 · 2026-03-23 13:27:20

153

Views

What does Sylow theory have to say about group presentations?

Published on 23 Mar 2026 - 13:27

score 84 · Answer 5 · 2026-03-23 02:24:25

84

Views

Automorphisms "killing" and group

Published on 23 Mar 2026 - 2:24

score 66 · Answer 6 · 2019-05-01 05:19:38

66

Views

Is it true that $\pi_1(M)=\langle a\mid aaa,aa^{-1} \rangle \cong \Bbb Z_3$?

Published on 01 May 2019 - 5:19

score 206 · Answer 7 · 2026-02-23 02:56:49

206

Views

Proving undecidability of group isomorphism problem from an unsolvable word problem

Published on 23 Feb 2026 - 2:56

score 508 · Answer 8 · 2026-03-22 07:05:50

508

Views

Identifying the group $G = \langle x,y \space | \space xy=yx, x^4=y^2 \rangle$ from the given presentation

Published on 22 Mar 2026 - 7:05

score 48 · Answer 9 · 2026-03-20 01:03:22

48

Views

Determining the Cyclic Decomposition of a Finitely Generated Abelian Group given a set of relations.

Published on 20 Mar 2026 - 1:03

score 888 · Answer 10 · 2026-03-20 17:35:55

888

Views

Is this a group? If so, what group is it?

Published on 20 Mar 2026 - 17:35

score 170 · Answer 11 · 2026-03-20 21:26:56

170

Views

Is this a well-known group? $\langle a,b \mid a^5=b^4=e,b^{-1}ab=a^{-1}\rangle$

Published on 20 Mar 2026 - 21:26

score 332 · Answer 12 · 2026-03-21 14:09:58

332

Views

Efficient computation of conjugacy classes of a small group.

Published on 21 Mar 2026 - 14:09

score 48 · Answer 13 · 2019-05-25 23:06:50

48

Views

Prove that if $H,K \leq G$ where $G$ hyperbolic, $H,K \cong C_2 \times C_2$, we can decide if $H$ and $K$ are conjugate

Published on 25 May 2019 - 23:06

score 19 · Answer 14 · 2019-05-26 07:03:53

19

Views

A question regarding "equality" of word lengths for two minimal generating sets of a finite group

Published on 26 May 2019 - 7:03

score 549 · Answer 15 · 2019-05-26 21:27:50

549

Views

Presentation of abelian groups and classification.

Published on 26 May 2019 - 21:27

List Question

Showing $\langle x,y\mid x^2, y^3, xyxy^{-1}, (xy)^7\rangle$ is trivial.

Construct a nonabelian group of order 44

If $g^5 = h^7$ in a free group, then $g$ and $h$ are in a cyclic subgroup

What does Sylow theory have to say about group presentations?

Automorphisms "killing" and group

Is it true that $\pi_1(M)=\langle a\mid aaa,aa^{-1} \rangle \cong \Bbb Z_3$?

Proving undecidability of group isomorphism problem from an unsolvable word problem

Identifying the group $G = \langle x,y \space | \space xy=yx, x^4=y^2 \rangle$ from the given presentation

Determining the Cyclic Decomposition of a Finitely Generated Abelian Group given a set of relations.

Is this a group? If so, what group is it?

Is this a well-known group? $\langle a,b \mid a^5=b^4=e,b^{-1}ab=a^{-1}\rangle$

Efficient computation of conjugacy classes of a small group.

Prove that if $H,K \leq G$ where $G$ hyperbolic, $H,K \cong C_2 \times C_2$, we can decide if $H$ and $K$ are conjugate

A question regarding "equality" of word lengths for two minimal generating sets of a finite group

Presentation of abelian groups and classification.

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