List questions from combinatorial-group-theory

Published on 20 Mar 2026 - 17:35

170

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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

332

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Efficient computation of conjugacy classes of a small group.

Published on 21 Mar 2026 - 14:09

1k

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Every finite group is finitely presented, but how to do this effectively?

Published on 21 Mar 2026 - 0:52

362

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Perfect finite groups with balanced presentations

Published on 21 Mar 2026 - 11:10

290

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Normal closure in Baumslag-Solitar group

Published on 21 Mar 2026 - 5:10

170

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Showing $\langle a,p,q\mid p^{-1}ap=a^2, q^{-1}aq=a^2\rangle$ is non-hopfian (from first principles).

Published on 23 Feb 2026 - 13:39

307

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Showing $\left<a,b,c : a^2=b^3=c^5=abc \right>/\left<abc\right>$ is finite

Published on 20 Mar 2026 - 16:42

313

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Are there any efficient algorithms for deciding whether a finitely presented group is Abelian?

Published on 20 Mar 2026 - 19:34

317

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How to prove that the following groups are isomorphic?

Published on 21 Mar 2026 - 6:13

214

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Isomorphism between two finitley presented groups which are not finite

Published on 25 Mar 2026 - 11:10

136

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Showing $b^2 \notin \langle a \rangle$ for $V_{8n}=\langle a,b:a^{2n}=e, b^4 = e, ba=a^{-1}b^{-1},b^{-1}a=a^{-1}b\rangle.$

Published on 20 Mar 2026 - 17:47

546

Views

Reidemeister-Schreier rewriting process. How to find the appropriate transversal element?

Published on 22 Mar 2026 - 10:20

113

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The tree of $\langle a,b\mid a^2=b^3\rangle$.

Published on 21 Mar 2026 - 9:30

247

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Presentation of Alternating group of order n

Published on 21 Mar 2026 - 14:40

List Question

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.

Every finite group is finitely presented, but how to do this effectively?

Perfect finite groups with balanced presentations

Normal closure in Baumslag-Solitar group

Showing $\langle a,p,q\mid p^{-1}ap=a^2, q^{-1}aq=a^2\rangle$ is non-hopfian (from first principles).

Showing $\left<a,b,c : a^2=b^3=c^5=abc \right>/\left<abc\right>$ is finite

Are there any efficient algorithms for deciding whether a finitely presented group is Abelian?

How to prove that the following groups are isomorphic?

Isomorphism between two finitley presented groups which are not finite

Showing $b^2 \notin \langle a \rangle$ for $V_{8n}=\langle a,b:a^{2n}=e, b^4 = e, ba=a^{-1}b^{-1},b^{-1}a=a^{-1}b\rangle.$

Reidemeister-Schreier rewriting process. How to find the appropriate transversal element?

The tree of $\langle a,b\mid a^2=b^3\rangle$.

Presentation of Alternating group of order n

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