List questions from group-presentation

Published on 06 May 2020 - 6:41

491

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The product of two normal subgroup's normal subgroup.

Published on 07 May 2020 - 14:21

188

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Find the group with presentation $\langle x, y: xy=yx, x^5=y^3\rangle$.

Published on 25 Mar 2026 - 23:10

380

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Intuition of recursively presented groups

Published on 25 Mar 2026 - 23:10

60

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Prove that $M_{16} / Z(M_{16}) \cong C_2 \times C_2$

Published on 14 May 2020 - 15:36

151

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Show that there is an injective homomorphism from $G_2 = \langle a, b \mid aba^{-1}b^{-1}\rangle$ to $G_1 = \langle x, y \mid xyx^{-1}y\rangle$.

Published on 25 Mar 2026 - 23:13

85

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How to show the elements ${x^p}$ and $y$ are commute based on relation ${x^y}={x^{1+p}}$

Published on 25 Mar 2026 - 23:16

245

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Finding the group order from the presentation of a group and deciding if it is abelian

Published on 25 Mar 2026 - 23:10

172

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Word problem and quotient group

Published on 24 May 2020 - 1:01

149

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Braid group relations

Published on 06 Jun 2020 - 7:23

177

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How to find the number of elements of order $p$.

Published on 25 Mar 2026 - 22:30

63

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Explicit presentation of a group

Published on 07 Jun 2020 - 15:30

39

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Find all complex irreps of $S_4\times C_3$

Published on 09 Jun 2020 - 9:42

210

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How to prove the number of the elements of order $p$ in a group of order $p^4$ is ${p^3}-1$

Published on 25 Mar 2026 - 22:26

311

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One missing step in proving $\mathbb{Z}\times \mathbb{Z} \cong \langle a,b\,|\, [a,b]=1\rangle$

Published on 26 Mar 2026 - 0:52

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Help Understanding Why $D_{10} = C_2$ $\times$ $D_5$

The product of two normal subgroup's normal subgroup.

Find the group with presentation $\langle x, y: xy=yx, x^5=y^3\rangle$.

Intuition of recursively presented groups

Prove that $M_{16} / Z(M_{16}) \cong C_2 \times C_2$

Show that there is an injective homomorphism from $G_2 = \langle a, b \mid aba^{-1}b^{-1}\rangle$ to $G_1 = \langle x, y \mid xyx^{-1}y\rangle$.

How to show the elements ${x^p}$ and $y$ are commute based on relation ${x^y}={x^{1+p}}$

Finding the group order from the presentation of a group and deciding if it is abelian

Word problem and quotient group

Braid group relations

How to find the number of elements of order $p$.

Explicit presentation of a group

Find all complex irreps of $S_4\times C_3$

How to prove the number of the elements of order $p$ in a group of order $p^4$ is ${p^3}-1$

One missing step in proving $\mathbb{Z}\times \mathbb{Z} \cong \langle a,b\,|\, [a,b]=1\rangle$

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