List questions from combinatorial-group-theory

Published on 30 Apr 2013 - 13:41

3.4k

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Intuitive understanding of the Reidemeister-Schreier Theorem

Published on 21 May 2013 - 16:57

220

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Zero exponent sum w.r.t group words in knot group's presentation

Published on 30 Jul 2013 - 4:21

115

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(some) Dihedral groups have a right transversal isomorphic to some dihedral group.

Published on 05 Sep 2013 - 11:55

273

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About the order of Coxeter groups

Published on 26 Mar 2026 - 2:44

1.2k

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Commutator subgroup of a finitely generated nilpotent group.

Published on 25 Mar 2026 - 19:03

1.3k

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Topics in Combinatorial Group Theory (for a short talk).

Published on 25 Feb 2014 - 1:17

1.4k

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Show that any subgroup of a finitely generated abelian group is finitely generated?

Published on 10 Mar 2014 - 0:42

513

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Generators for a subgroup of a free group

Published on 13 Apr 2017 - 9:01

828

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Presentation of wreath product $G=S_3 \wr S_3$ of symmetric groups. What is the isomorphism type of $G/[G,G]$?

Published on 25 Mar 2026 - 12:50

321

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Free product has solvable word problem if its factors do

Published on 25 Mar 2026 - 22:10

110

Views

Given a presentation of a group, find its normalizer.

Published on 29 Apr 2017 - 5:04

128

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Sub-group of a free group that is characteristic But not totally characteristic

Published on 01 May 2017 - 14:55

57

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How to check whether a word in $S_n$ is reduced?

Published on 07 May 2017 - 8:51

55

Views

Showing $\Bbb{Z}_q \rtimes Q_8$ has the presentation $\langle x,y,z \mid x^q=y^4=z^4=[x,y]=1, y^z=y^{-1}, y^2=z^2, x^z=x^{-1} \rangle.$

Published on 11 May 2017 - 12:21

List Question

The automorphism of a group when given a group presentation

Intuitive understanding of the Reidemeister-Schreier Theorem

Zero exponent sum w.r.t group words in knot group's presentation

(some) Dihedral groups have a right transversal isomorphic to some dihedral group.

About the order of Coxeter groups

Commutator subgroup of a finitely generated nilpotent group.

Topics in Combinatorial Group Theory (for a short talk).

Show that any subgroup of a finitely generated abelian group is finitely generated?

Generators for a subgroup of a free group

Presentation of wreath product $G=S_3 \wr S_3$ of symmetric groups. What is the isomorphism type of $G/[G,G]$?

Free product has solvable word problem if its factors do

Given a presentation of a group, find its normalizer.

Sub-group of a free group that is characteristic But not totally characteristic

How to check whether a word in $S_n$ is reduced?

Showing $\Bbb{Z}_q \rtimes Q_8$ has the presentation $\langle x,y,z \mid x^q=y^4=z^4=[x,y]=1, y^z=y^{-1}, y^2=z^2, x^z=x^{-1} \rangle.$

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