List questions from finitely-generated

Published on 11 Feb 2020 - 18:45

574

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Finding a generator element of a finite extension field

Published on 15 Feb 2020 - 11:41

275

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Is there a criterion for which $BS(m,n)$ are solvable (and non-solvable)? If not, are there classes of such groups where this is known?

Published on 25 Mar 2026 - 20:22

44

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Set of elements that do not generate $G$ with another one.

Published on 19 Feb 2020 - 17:08

109

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Finitely generated group unlikely to be generated by randomly chosen elements.

Published on 25 Mar 2026 - 21:46

47

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Finitely generated over a ring $S$ and a map $R \to S$ implies finitely generated over $R$?

Published on 27 Feb 2020 - 7:18

28

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On the definition of finitely generated algebras

Published on 28 Feb 2020 - 12:07

693

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Generators of alternating group $A_n$ for odd and even $n$

Published on 28 Feb 2020 - 22:03

297

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Second derived subgroup of Baumslag Solitar group BS(2,3)

Published on 26 Mar 2026 - 6:28

85

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Generators of $C_3\rtimes C_2$

Published on 25 Mar 2026 - 21:47

85

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On the growth rate of groups

Published on 26 Mar 2026 - 16:26

43

Views

Is the ideal generated by $a$ simply $\{ au\mid u\in R, a\in I \}$ ($R$ is a ring)

Published on 11 Mar 2020 - 14:46

50

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Subgroup generated by commensuration class of an element of a virtually free group

Published on 26 Mar 2026 - 1:10

411

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Direct union of finitely generated subgroup

Published on 18 Mar 2020 - 7:21

29

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What does $S[\lambda_1,...,\lambda_n]$ look like? Where $S$ is a subring of a given ring $R$ and $\lambda_1,\ldots,\lambda_n\in R$.

Published on 22 Mar 2020 - 23:36

List Question

Proof involving generating sets of groups

Finding a generator element of a finite extension field

Is there a criterion for which $BS(m,n)$ are solvable (and non-solvable)? If not, are there classes of such groups where this is known?

Set of elements that do not generate $G$ with another one.

Finitely generated group unlikely to be generated by randomly chosen elements.

Finitely generated over a ring $S$ and a map $R \to S$ implies finitely generated over $R$?

On the definition of finitely generated algebras

Generators of alternating group $A_n$ for odd and even $n$

Second derived subgroup of Baumslag Solitar group BS(2,3)

Generators of $C_3\rtimes C_2$

On the growth rate of groups

Is the ideal generated by $a$ simply $\{ au\mid u\in R, a\in I \}$ ($R$ is a ring)

Subgroup generated by commensuration class of an element of a virtually free group

Direct union of finitely generated subgroup

What does $S[\lambda_1,...,\lambda_n]$ look like? Where $S$ is a subring of a given ring $R$ and $\lambda_1,\ldots,\lambda_n\in R$.

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