List questions from group-presentation

Published on 10 Jan 2017 - 6:54

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Proof that finite symmetrized relator sets, which are $C'(1/6)$, with equal normal closures are unique

Published on 25 Mar 2026 - 11:15

483

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Why is the binary dihedral group $BD_4$ the same as $\mathbb{Z}_4$?

Published on 23 Jan 2017 - 17:41

52

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Trouble with a group presentation

Published on 30 Jan 2017 - 18:35

175

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Presentation of commutative group by integer matrix

Published on 05 Feb 2017 - 15:02

307

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Is $\langle\ a,b\ \vert\ aba=bab,\ abab=baba\ \rangle$ a presentation of the free group on a single generator?

Published on 26 Mar 2026 - 5:55

92

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What is this presentation isomorphic to?

Published on 07 Feb 2017 - 17:12

104

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Naming $V_{8n}=⟨a, b|a^{2n}=b^{4}=e, ba=a^{−1}b^{−1}, b^{−1}a=a^{−1}b⟩.$

Published on 08 Feb 2017 - 11:18

37

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Reducing words in a set of relators

Published on 08 Feb 2017 - 19:10

355

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Confusing notation: Presentation theory of symmetric groups (Coxeter presentations)

Published on 25 Mar 2026 - 14:21

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computing the fundamental domain for $\Gamma_0(4) \backslash \mathbb{H}$

Published on 25 Mar 2026 - 17:45

235

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Higman's group is not trivial.

Published on 05 Mar 2017 - 13:29

121

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Which group is this?

Published on 18 Mar 2017 - 1:31

353

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Group Presentation - Categorical Interpretation

Published on 26 Mar 2026 - 9:45

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Prove every free group is torsion-free

Published on 04 Apr 2017 - 6:34

List Question

Presentation of $D_4 \rtimes Aut(D_4)$

Proof that finite symmetrized relator sets, which are $C'(1/6)$, with equal normal closures are unique

Why is the binary dihedral group $BD_4$ the same as $\mathbb{Z}_4$?

Trouble with a group presentation

Presentation of commutative group by integer matrix

Is $\langle\ a,b\ \vert\ aba=bab,\ abab=baba\ \rangle$ a presentation of the free group on a single generator?

What is this presentation isomorphic to?

Naming $V_{8n}=⟨a, b|a^{2n}=b^{4}=e, ba=a^{−1}b^{−1}, b^{−1}a=a^{−1}b⟩.$

Reducing words in a set of relators

Confusing notation: Presentation theory of symmetric groups (Coxeter presentations)

computing the fundamental domain for $\Gamma_0(4) \backslash \mathbb{H}$

Higman's group is not trivial.

Which group is this?

Group Presentation - Categorical Interpretation

Prove every free group is torsion-free

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