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Questions about the branch of algebra that deals with groups.
3
votes
0
answers
121
views
The group $G=\langle t,a \mid t^4=1, (t^{-1}at)^{-1} a (t^{-1} at)=a^2 \rangle$ is non-resid...
A group $G= \langle t,a,| t^4=1, (t^{-1}at)^{-1} a (t^{-1}a t)= a^2 \rangle$ ( I do not remember the reference) was shown as a non -residually finite group. I do not know how to prove it. I will be t …
1
vote
0
answers
138
views
The free products of finitely many finitely generated groups are hyperbolic relative to the fa...
Are there any references how to show that:the free products of finitely many finitely generated groups are hyperbolic relative to the free factors. More precisely, how to show that
$G = A \ast B $ is hy …
4
votes
1
answer
194
views
Estimating an upper bound of hyperbolicity constants in Gromov-hyperbolic groups
Is there any good references with an explicit estimating hyperbolicity constants of hyperbolic groups? I was thinking about whether there is any relation between the relator of maximal length in the …