List questions from group-isomorphism

Published on 01 Jun 2023 - 11:47

95

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Find all isomorphisms between this group and itself (Confusion)

Published on 05 Jun 2023 - 12:14

90

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Theorem 6 Corollary 4, Section 1.5 of Hungerford’s Abstract Algebra

Published on 01 Apr 2026 - 1:40

129

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Let $n \in \mathbb {N}$ and $G$ a group of order $4n+2$. Prove $G$ isn't simple.

Published on 01 Apr 2026 - 1:37

126

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Does a presentation of a group correspond to a unique group?

Published on 26 Mar 2026 - 9:16

57

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Isomorphic representations and groups

Published on 09 Jun 2023 - 9:57

100

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Even and Odd Maps in Group Homomorphism

Published on 30 Mar 2026 - 5:24

70

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Find all isomorphisms between the group of rotations of the square and the group (Z4, +4)

Published on 31 Mar 2026 - 21:51

202

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Prove any two nonabelian groups of order 4301 are isomorphic

Published on 29 Mar 2026 - 7:37

163

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Necessary and sufficient condition for a pair of groups to be isomorphic

Published on 03 Jul 2023 - 21:17

238

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A weaker condition than the operation-preserving one, for a weaker result.

Published on 08 Jul 2023 - 14:17

212

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Group operations on disjoint union

Published on 08 Jul 2023 - 22:39

79

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Show that $ SL(2,5) $ has no subgroup isomorphic to $ A_5 $

Published on 26 Mar 2026 - 23:09

329

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Non-isomorphic groups which are "quasi-isomorphic".

Published on 13 Jul 2023 - 20:24

124

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Proving that $\text{SO}_2$ is isomorphic to $S^1$

Published on 15 Jul 2023 - 5:04

List Question

Question on the second homomorphism theorem.

Find all isomorphisms between this group and itself (Confusion)

Theorem 6 Corollary 4, Section 1.5 of Hungerford’s Abstract Algebra

Let $n \in \mathbb {N}$ and $G$ a group of order $4n+2$. Prove $G$ isn't simple.

Does a presentation of a group correspond to a unique group?

Isomorphic representations and groups

Even and Odd Maps in Group Homomorphism

Find all isomorphisms between the group of rotations of the square and the group (Z4, +4)

Prove any two nonabelian groups of order 4301 are isomorphic

Necessary and sufficient condition for a pair of groups to be isomorphic

A weaker condition than the operation-preserving one, for a weaker result.

Group operations on disjoint union

Show that $ SL(2,5) $ has no subgroup isomorphic to $ A_5 $

Non-isomorphic groups which are "quasi-isomorphic".

Proving that $\text{SO}_2$ is isomorphic to $S^1$

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