List questions from combinatorial-group-theory

Published on 20 Apr 2021 - 17:37

177

Views

Part of Birkhoff's theorem for varieties of groups in Robinson's book.

Published on 22 Apr 2021 - 19:53

47

Views

Finding that $S_3$ is the homomorphic image of the group with the following presentation

Published on 22 Apr 2021 - 20:06

319

Views

How to find a finite presentation of a finitely generated abelian group?

Published on 23 Apr 2021 - 21:57

124

Views

Rank of a free group times a free abelian group.

Published on 27 Mar 2026 - 4:38

75

Views

Finding a finite group that is a quotient of $\pi_1 T$ but nota quotient of $\pi_1 K$

Published on 28 Apr 2021 - 23:15

291

Views

Can we apply relations in a group presentation one by one?

Published on 30 Apr 2021 - 13:29

149

Views

$C'(1/6)$ groups' properties

Published on 02 May 2021 - 22:20

284

Views

Whether a group containing a free group is also a free group

Published on 03 May 2021 - 18:19

53

Views

Prove $\langle x,y\mid x^n=y^2=1,xy=yx^2\rangle$ is of order $6$ for $n=3k$

Published on 06 May 2021 - 23:09

64

Views

Attempting to simplify a proof that all subgroups of $\mathbb{Z}^n$ are finitely generated.

Published on 09 May 2021 - 16:50

112

Views

How to find a group with generators and relations fulfilling several properties?

Published on 10 May 2021 - 22:54

57

Views

Prove or disprove $\langle a,b,c\rangle$ is free

Published on 25 Mar 2026 - 17:24

132

Views

Embedding of countable abelian group into a finitely generated group

Published on 16 May 2021 - 17:36

751

Views

J. J. Rotman's proof that two free groups are isomorphic iff they have the same rank

Published on 17 May 2021 - 16:59

List Question

Is $\langle a,b,c \mid c=aba^{-1}b \rangle$ the same as the free group $\langle a,b \rangle$?

Part of Birkhoff's theorem for varieties of groups in Robinson's book.

Finding that $S_3$ is the homomorphic image of the group with the following presentation

How to find a finite presentation of a finitely generated abelian group?

Rank of a free group times a free abelian group.

Finding a finite group that is a quotient of $\pi_1 T$ but nota quotient of $\pi_1 K$

Can we apply relations in a group presentation one by one?

$C'(1/6)$ groups' properties

Whether a group containing a free group is also a free group

Prove $\langle x,y\mid x^n=y^2=1,xy=yx^2\rangle$ is of order $6$ for $n=3k$

Attempting to simplify a proof that all subgroups of $\mathbb{Z}^n$ are finitely generated.

How to find a group with generators and relations fulfilling several properties?

Prove or disprove $\langle a,b,c\rangle$ is free

Embedding of countable abelian group into a finitely generated group

J. J. Rotman's proof that two free groups are isomorphic iff they have the same rank

Trending Questions

Popular # Hahtags

Popular Questions