List questions from abelian-groups

Published on 18 Nov 2018 - 18:13

254

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Abelian group of prime exponent $p$ is $\mathbb{F}_p$-vector space?

Published on 23 Mar 2026 - 9:38

160

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Commutators and abelianisations of congruence subgroups in function fields

Published on 24 Mar 2026 - 20:36

40

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Evaluate $a_1\cdot \dots \cdot a_n$ where $G=\{a_1,...,a_n\}$ is an abelian group with no element $a\ne e$ such that $a^2=e$

Published on 20 Nov 2018 - 17:34

50

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Isomorphism $\{1\}\times \mathbb C^\to \{1\}\times \mathbb C^$

Published on 25 Mar 2026 - 7:48

312

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How to show that $\langle a,b \mid aba^{-1}ba = bab^{-1}ab\rangle$ is not Abelian?

Published on 25 Mar 2026 - 7:45

51

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How prove a group is not free abelian group

Published on 26 Mar 2026 - 1:03

296

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Understanding rules on an Abelian group decomposition

Published on 30 Nov 2018 - 0:26

81

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Finite group of size n for each n > 1 example

Published on 30 Nov 2018 - 14:55

328

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Proof of Cauchy's theorem for finite groups in Dummit and Foote

Published on 30 Nov 2018 - 17:27

62

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Prove that a group $G$ is abelian

Published on 01 Dec 2018 - 17:38

129

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How to prove that semidirect product of $Z_{13}$ and $Z_3$ is non Abelian for a non-trivial homomorphism

Published on 25 Mar 2026 - 7:46

49

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Is there an abelian linearly ordered group of the multiplicative convention for complex number excluding $\{0\}$?

Published on 03 Dec 2018 - 0:39

30

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Homomorphism and relative order questions

Published on 03 Dec 2018 - 20:19

754

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Hatcher 2.1.14 last part

Published on 25 Mar 2026 - 20:52

List Question

Abelian Lie group representation

Abelian group of prime exponent $p$ is $\mathbb{F}_p$-vector space?

Commutators and abelianisations of congruence subgroups in function fields

Evaluate $a_1\cdot \dots \cdot a_n$ where $G=\{a_1,...,a_n\}$ is an abelian group with no element $a\ne e$ such that $a^2=e$

Isomorphism $\{1\}\times \mathbb C^\to \{1\}\times \mathbb C^$

How to show that $\langle a,b \mid aba^{-1}ba = bab^{-1}ab\rangle$ is not Abelian?

How prove a group is not free abelian group

Understanding rules on an Abelian group decomposition

Finite group of size n for each n > 1 example

Proof of Cauchy's theorem for finite groups in Dummit and Foote

Prove that a group $G$ is abelian

How to prove that semidirect product of $Z_{13}$ and $Z_3$ is non Abelian for a non-trivial homomorphism

Is there an abelian linearly ordered group of the multiplicative convention for complex number excluding $\{0\}$?

Homomorphism and relative order questions

Hatcher 2.1.14 last part

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