List questions from group-isomorphism

Published on 07 May 2021 - 15:26

202

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Rationals with denominator $1$ or $2$ under addition

Published on 10 May 2021 - 18:48

479

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Group action on topological spaces.

Published on 05 Apr 2026 - 1:58

41

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Finding number of surjective homomorphisms from $S_4$ to various groups without the First Isomorphism Theorem

Published on 04 Apr 2026 - 1:53

264

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$SL(2,\mathbb{C})\cong \operatorname{Spin}(1,3,\mathbb{R})?$ or $SL(2,\mathbb{C})\cong \operatorname{Spin}(3,1,\mathbb{R})?$

Published on 26 Mar 2026 - 4:34

69

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Why the following implies that $G \cong H$?

Published on 01 Apr 2026 - 0:30

40

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Does a topological isomorphism between monothetic groups preserve the generator?

Published on 04 Apr 2026 - 6:09

230

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Lie group isomorphism between U(2)/U(1) and SU(2)

Published on 27 Mar 2026 - 0:03

316

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Prove $\operatorname{Gal}(EL/E)$ is a Galois extension in this case

Published on 01 Apr 2026 - 4:29

45

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Number of binary operations isomorphism with 4 elements

Published on 30 Mar 2026 - 10:35

53

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Help with isomorphic groups?

Published on 29 May 2021 - 14:20

214

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Let $G$ be abelian of order $p_1^{m_1}p_2^{m_2}...p_k^{m_k}$. Show $G\cong P_1\times ...\times P_k$ where $P_i$ are subgroups of order $p_i^{m_i}$

Published on 30 May 2021 - 19:12

43

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Example of a pair of non-isomorphic quasi-groups with parastrophic Latin squares?

Published on 23 Feb 2026 - 2:49

303

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Proving that the group $U(30)$ is isomorphic to the group $\Bbb Z_8$.

Published on 06 Apr 2026 - 6:30

101

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Understanding an isomorphism between direct limit of the character group and character group of the inverse limit

Published on 26 Mar 2026 - 22:18

List Question

Isomorphism: minimal number of steps to check

Rationals with denominator $1$ or $2$ under addition

Group action on topological spaces.

Finding number of surjective homomorphisms from $S_4$ to various groups without the First Isomorphism Theorem

$SL(2,\mathbb{C})\cong \operatorname{Spin}(1,3,\mathbb{R})?$ or $SL(2,\mathbb{C})\cong \operatorname{Spin}(3,1,\mathbb{R})?$

Why the following implies that $G \cong H$?

Does a topological isomorphism between monothetic groups preserve the generator?

Lie group isomorphism between U(2)/U(1) and SU(2)

Prove $\operatorname{Gal}(EL/E)$ is a Galois extension in this case

Number of binary operations isomorphism with 4 elements

Help with isomorphic groups?

Let $G$ be abelian of order $p_1^{m_1}p_2^{m_2}...p_k^{m_k}$. Show $G\cong P_1\times ...\times P_k$ where $P_i$ are subgroups of order $p_i^{m_i}$

Example of a pair of non-isomorphic quasi-groups with parastrophic Latin squares?

Proving that the group $U(30)$ is isomorphic to the group $\Bbb Z_8$.

Understanding an isomorphism between direct limit of the character group and character group of the inverse limit

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