Zobrazeno 1 - 10
of 225
pro vyhledávání: '"André, Simon"'
Autor:
André, Simon, Paolini, Gianluca
By the work of Sela, for any free group $F$, the Coxeter group $W_ 3 = \mathbb{Z}/2\mathbb{Z} \ast \mathbb{Z}/2\mathbb{Z} \ast \mathbb{Z}/2\mathbb{Z}$ is elementarily equivalent to $W_3 \ast F$, and so Coxeter groups are not closed under elementary e
Externí odkaz:
http://arxiv.org/abs/2407.01164
It is well-known that every sharply 2-transitive group of characteristic 3 splits. Here we construct the first examples of non-split sharply 2-transitive groups in odd positive characteristic $p$, for sufficiently large primes $p$. Furthermore, we sh
Externí odkaz:
http://arxiv.org/abs/2312.16992
Autor:
André, Simon, Guirardel, Vincent
We construct the first examples of infinite sharply 2-transitive groups which are finitely generated. Moreover, we construct such a group that has Kazhdan property (T), is simple, has exactly four conjugacy classes, and we show that this number is as
Externí odkaz:
http://arxiv.org/abs/2212.06020
Autor:
André, Simon
We prove that two co-Hopfian finitely generated virtually free groups are elementarily equivalent if and only if they are isomorphic. We also prove that co-Hopfian finitely generated virtually free groups are homogeneous in the sense of model theory.
Externí odkaz:
http://arxiv.org/abs/2112.04072
Autor:
André, Simon, Tent, Katrin
We construct simple sharply 2-transitive groups. Our result answers an open question of Peter Neumann. In fact, we prove that every sharply 2-transitive group of characteristic 0 embeds into a simple sharply 2-transitive group.
Externí odkaz:
http://arxiv.org/abs/2111.09580
Autor:
André, Simon
Deux groupes sont dits élémentairement équivalents s'ils satisfont les mêmes énoncés du premier ordre dans le langage des groupes. Aux environs de l'année 1945, Tarski posa la question suivante, connue désormais comme le problème de Tarski :
Externí odkaz:
http://www.theses.fr/2019REN1S030/document
Autor:
Samuel Leandro Soares, Gustavo André Simon, Renata Cristina Alvares, Fernando Higino de Lima e Silva
Publikováno v:
Revista Ceres, Vol 70, Iss 2, Pp 81-90 (2023)
ABSTRACT Studies about the combining ability and genetic diversity can provide information on the genetic resources contained in the working collection of germplasm. The objective of this study was to estimate the combining ability of ten soybean par
Externí odkaz:
https://doaj.org/article/c0f5f6565fdf4609b0baa0dceeda70b8
Autor:
André, Simon
Let $G$ be a finitely presented group, and let $H$ be a subgroup of $G$. We prove that if $H$ is acylindrically hyperbolic and existentially closed in $G$, then $G$ is acylindrically hyperbolic. As a corollary, any finitely presented group which is e
Externí odkaz:
http://arxiv.org/abs/2005.07220
Autor:
André, Simon, Fruchter, Jonathan
We generalise Merzlyakov's theorem about the first-order theory of non-abelian free groups to all acylindrically hyperbolic groups. As a corollary, we deduce that if $G$ is an acylindrically hyperbolic group and $E(G)$ denotes the unique maximal fini
Externí odkaz:
http://arxiv.org/abs/2005.00216
Autor:
André, Simon
We give a description of elementary subgroups (in the sense of first-order logic) of finitely generated virtually free groups. In particular, we recover the fact that elementary subgroups of finitely generated free groups are free factors. Moreover,
Externí odkaz:
http://arxiv.org/abs/1912.06388