Add to ORKGOne says that the Tits alternative holds for a finitely generated group G if G contains either a non abelian free subgroup or a solvable subgroup of finite index. Rosenberger states the conjecture that the Tits alternative holds for generalized triangle groups $T(k,l,m,R)=<a,b; a^k=b^l=R^m(a,b)=1>$. In the paper Rosenberger's conjecture is proved for groups T(2,l,2,R) with l=6,12,30,60 and some special groups T(3,4,2,R)
We show that for every integer $d$, there is a constant $N(d)$ such that if $K$ is any field and $F$...
26 pages, 2 figuresLet $G=G_1\ast\dots\ast G_k\ast F$ be a countable group which splits as a free pr...
A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble...
Tits proved that if G is a finitely generated linear group then G contains either a non abelian fre...
Rosenberger’s conjecture is proved for groups T(2,l,2,R) with l=6, 12, 30, 60 and some special group...
One says that the Tits alternative holds for a finitely generated group G if G contains either a non...
It is proved that a generalized triangle group of type (2,15,2) contains a non-abelian free subgroup...
A generalized triangle group is a group that can be presented in the form G = where p, q, r >= 2 an...
A generalized triangle group is a group that can be presented in the form G = where p, q, r >= 2 an...
The class of groups defined by periodic paired relations, as introduced by Vinberg, includes the gen...
Pride groups, or ?groups given by presentations in which each defining relator involves at most two ...
Triangles of groups have been introduced by Gersten and Stallings. They are, roughly speaking, a gen...
The class of groups defined by periodic paired relations, as introduced by Vinberg, includes the gen...
Este projeto de mestrado tem por objetivo dar uma prova elementar do seguinte teorema de Tits, conhe...
AbstractIt is shown that a finitely generated linear semigroup T ⊆ GL(n, K) with no free non-commuta...
We show that for every integer $d$, there is a constant $N(d)$ such that if $K$ is any field and $F$...
26 pages, 2 figuresLet $G=G_1\ast\dots\ast G_k\ast F$ be a countable group which splits as a free pr...
A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble...
Tits proved that if G is a finitely generated linear group then G contains either a non abelian fre...
Rosenberger’s conjecture is proved for groups T(2,l,2,R) with l=6, 12, 30, 60 and some special group...
One says that the Tits alternative holds for a finitely generated group G if G contains either a non...
It is proved that a generalized triangle group of type (2,15,2) contains a non-abelian free subgroup...
A generalized triangle group is a group that can be presented in the form G = where p, q, r >= 2 an...
A generalized triangle group is a group that can be presented in the form G = where p, q, r >= 2 an...
The class of groups defined by periodic paired relations, as introduced by Vinberg, includes the gen...
Pride groups, or ?groups given by presentations in which each defining relator involves at most two ...
Triangles of groups have been introduced by Gersten and Stallings. They are, roughly speaking, a gen...
The class of groups defined by periodic paired relations, as introduced by Vinberg, includes the gen...
Este projeto de mestrado tem por objetivo dar uma prova elementar do seguinte teorema de Tits, conhe...
AbstractIt is shown that a finitely generated linear semigroup T ⊆ GL(n, K) with no free non-commuta...
We show that for every integer $d$, there is a constant $N(d)$ such that if $K$ is any field and $F$...
26 pages, 2 figuresLet $G=G_1\ast\dots\ast G_k\ast F$ be a countable group which splits as a free pr...
A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble...