Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Francesco Matucci"'
Publikováno v:
Bulletin of the American Mathematical Society. 59:561-567
We observe that the group of all lifts of elements of Thompson’s group T T to the real line is finitely presented and contains the additive group Q \mathbb {Q} of the rational numbers. This gives an explicit realization of the Higman embedding theo
Autor:
James Belk, Francesco Matucci
We prove Thompson's group $F$ has quadratic conjugator length function. That is, for any two conjugate elements of $F$ of length $n$ or less, there exists an element of $F$ of length $O(n^2)$ that conjugates one to the other. Moreover, there exist co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d6d77d5e54beeed59a4cb3a1f192578
https://hdl.handle.net/10281/412755
https://hdl.handle.net/10281/412755
Publikováno v:
Journal of Combinatorial Algebra. 5:123-183
We prove that all Gromov hyperbolic groups embed into the asynchronous rational group defined by Grigorchuk, Nekrashevych and Sushchanski\u{i}. The proof involves assigning a system of binary addresses to points in the Gromov boundary of $G$, and pro
A group $G$ is integrable if it is isomorphic to the derived subgroup of a group $H$; that is, if $H'\simeq G$, and in this case $H$ is an integral of $G$. If $G$ is a subgroup of $U$, we say that $G$ is integrable within $U$ if $G=H'$ for some $H\le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd011aec69c5c4aac6b46a5a71322832
We prove that every finitely-generated right-angled Artin group can be embedded into some Brin-Thompson group $nV$. It follows that many other groups can be embedded into some $nV$ (e.g., any finite extension of any of Haglund and Wise's special grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48584ce1ed773a2070192b5a0e624ba7
http://hdl.handle.net/10281/261885
http://hdl.handle.net/10281/261885
Publikováno v:
Zaguán. Repositorio Digital de la Universidad de Zaragoza
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We consider generalisations of Thompson's group $V$, denoted by $V_r(\Sigma)$, which also include the groups of Higman, Stein and Brin. It was shown by the authors in [20] that under some mild conditions these groups and centralisers of their finite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04381bd719ceac012b303172f9408c67
http://zaguan.unizar.es/record/79727
http://zaguan.unizar.es/record/79727
An $integral$ of a group $G$ is a group $H$ whose derived group (commutator subgroup) is isomorphic to $G$. This paper discusses integrals of groups, and in particular questions about which groups have integrals and how big or small those integrals c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6294832be932487c2ad6601777e9f6f
http://hdl.handle.net/10281/261883
http://hdl.handle.net/10281/261883
Autor:
James Belk, Francesco Matucci
Publikováno v:
Publ. Mat. 60, no. 2 (2016), 501-524
We prove that Claas Röver's Thompson-Grigorchuk simple group $V\mathcal{G}$ has type $F_\infty$. The proof involves constructing two complexes on which $V\mathcal{G}$ acts: a simplicial complex analogous to the Stein complex for $V$, and a polysimpl
Autor:
Pedro V. Silva, Francesco Matucci
In this work we study automorphisms of synchronous self-similar groups, the existence of extensions to automorphisms of the full group of automorphisms of the infinite rooted tree on which these groups act on. When they do exist, we obtain conditions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d55e6ffca4fddf91385752667d5afe01
Publikováno v:
Anais do Congresso de Iniciação Científica da Unicamp.