List questions from group-presentation

Published on 25 Mar 2026 - 6:17

305

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Normal Form of Elements in Quotient Groups

Published on 16 Oct 2014 - 15:55

91

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What makes $B_4$ different from other braid groups?

Published on 25 Mar 2026 - 6:18

3.3k

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Von Dyck's theorem (group theory)

Published on 09 Nov 2014 - 10:18

214

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Prove that $Q_8 \cong \langle a, b \mid a^4, a^2b^{-2}, aba^{-1}b \rangle$

Published on 12 Nov 2014 - 1:11

1.6k

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How to show that $\langle a, b \mid a^2, b^2, (ab)^4\rangle$ gives the dihedral group?

Published on 13 Nov 2014 - 4:23

3.6k

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Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group

Published on 15 Nov 2014 - 20:39

477

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Trying to understand group presentations using the example of the Dihedral group

Published on 09 Dec 2014 - 10:53

208

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on Cayley diagrams

Published on 10 Dec 2014 - 19:00

196

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Presentation of a non-abelian group of order $p^4$ such that ${G}/{\Phi(G)}\cong \Bbb{Z}_p\times \Bbb{Z}_p$

Published on 26 Dec 2014 - 22:10

238

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Describing the group defined by $\langle a,b \mid (ab)^2=(abaa)^2=(abbb)^2=e\rangle.$

Published on 29 Dec 2014 - 2:17

119

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Is there a standard group presentation for the group of units $U(n)$ modulo $n$?

Published on 25 Mar 2026 - 15:52

728

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Group presentations and isomorphism?

Published on 05 Oct 2019 - 21:42

92

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Subgroup of the braid group $B_n$ generated by $\sigma_i$ and $\sigma_{i+1} ^2$ is a free group?

Published on 06 Oct 2019 - 11:07

238

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Will this strategy give me the whole subgroup lattice?

Published on 08 Oct 2019 - 18:41

List Question

Forgetting a Strand in Braid Groups

Normal Form of Elements in Quotient Groups

What makes $B_4$ different from other braid groups?

Von Dyck's theorem (group theory)

Prove that $Q_8 \cong \langle a, b \mid a^4, a^2b^{-2}, aba^{-1}b \rangle$

How to show that $\langle a, b \mid a^2, b^2, (ab)^4\rangle$ gives the dihedral group?

Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group

Trying to understand group presentations using the example of the Dihedral group

on Cayley diagrams

Presentation of a non-abelian group of order $p^4$ such that ${G}/{\Phi(G)}\cong \Bbb{Z}_p\times \Bbb{Z}_p$

Describing the group defined by $\langle a,b \mid (ab)^2=(abaa)^2=(abbb)^2=e\rangle.$

Is there a standard group presentation for the group of units $U(n)$ modulo $n$?

Group presentations and isomorphism?

Subgroup of the braid group $B_n$ generated by $\sigma_i$ and $\sigma_{i+1} ^2$ is a free group?

Will this strategy give me the whole subgroup lattice?

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