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Results tagged with gr.group-theory
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user 73395
Questions about the branch of algebra that deals with groups.
9
votes
1
answer
756
views
Is the free product $\mathbb{Z}*\mathbb{Z}/n\mathbb{Z}$ linear over $\mathbb{Z}$?
Let $H:=\mathbb{Z}*\mathbb{Z}/n\mathbb{Z}=\langle p,q| q^n=1\rangle.$ I want to know if $H$ is a ($\mathbb{Z}$)linear group that is to say is there an injective homomorphism $f: H\to GL_m(\mathbb{Z})$ …
CommunityBot
- 1
3
votes
2
answers
389
views
Are the Baumslag-Solitar groups BS(n,n) and BS(n,-n) automata groups?
In this article of Bartholdi and Sunik http://arxiv.org/abs/math/0603032, they say that BS(n,n) and BS(n,-n) are automata groups because they are virtually $F_{|n|}\rtimes\mathbb{Z}$ (where $F_{|n|}$ …
- 2,519
8
votes
1
answer
541
views
Is there a simple description of this group?
I would like to know if there is a simple description of the following group. It has 2 generators whose the square of the commutator is trivial.
$$G=\langle a,b | (aba^{-1}b^{-1})^2=1\rangle$$
By adva …
- 305