List questions from free-groups

Published on 22 Apr 2012 - 21:37

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What is $[[H, H], [H, H]]$, where $H$ is the free group on two elements $a,b$?

Published on 25 Apr 2012 - 2:34

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Double Coverings of the Double Torus

Published on 28 Mar 2026 - 22:55

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Group isomorphism concerning free group generated by $3$ elements.

Published on 30 May 2012 - 23:15

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Presentation of $A_n$, from Jacobson's Basic Algebra I.

Published on 31 May 2012 - 19:05

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Quotient of two free abelian groups of the same rank is finite?

Published on 10 Jun 2012 - 11:07

241

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Centralizers in free metabelian groups

Published on 03 Jul 2012 - 3:27

213

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Let free group, F and F/F' have same rank

Published on 08 Jul 2012 - 14:46

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A free group on the non-empty set $X$ is solvable iff $|X| =1$

Published on 21 Jul 2012 - 23:12

888

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Index Of Commutator Subgroup In Free Groups

Published on 30 Jul 2012 - 7:55

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Commutator subgroup of a free group

Published on 19 Aug 2012 - 3:33

237

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Proof of Existence of a Free Group (one particular step in the process)

Published on 17 Sep 2012 - 20:01

338

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Maximal Free Subgroups and Torsion

Published on 05 Oct 2012 - 21:02

496

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Free Abelian Groups - Proving that a given subset is a basis

Published on 10 Oct 2012 - 7:02

812

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Let $x$ , $y$ be the basis of a free abelian group of rank 2, prove that $2x+3y$ and $ x-y$ generate a free subgroup

Published on 12 Oct 2012 - 12:24

List Question

Free group equivalent definition

What is $[[H, H], [H, H]]$, where $H$ is the free group on two elements $a,b$?

Double Coverings of the Double Torus

Group isomorphism concerning free group generated by $3$ elements.

Presentation of $A_n$, from Jacobson's Basic Algebra I.

Quotient of two free abelian groups of the same rank is finite?

Centralizers in free metabelian groups

Let free group, F and F/F' have same rank

A free group on the non-empty set $X$ is solvable iff $|X| =1$

Index Of Commutator Subgroup In Free Groups

Commutator subgroup of a free group

Proof of Existence of a Free Group (one particular step in the process)

Maximal Free Subgroups and Torsion

Free Abelian Groups - Proving that a given subset is a basis

Let $x$ , $y$ be the basis of a free abelian group of rank 2, prove that $2x+3y$ and $ x-y$ generate a free subgroup

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