Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Gianluca Paolini"'
Autor:
Gianluca Paolini, Saharon Shelah
Publikováno v:
Axioms, Vol 6, Iss 2, p 13 (2017)
We prove that if G is a Polish group and A a group admitting a system of generators whose associated length function satisfies: (i) if 0 < k < ω , then l g ( x ) ≤ l g ( x k ) ; (ii) if l g ( y ) < k < ω and x k = y , then x = e , then there exis
Externí odkaz:
https://doaj.org/article/e107f3cb66564d80b6c0e4cd9c8a9b99
Publikováno v:
Journal of Algebra. 595:297-346
We lay the foundations of the first-order model theory of Coxeter groups. Firstly, with the exception of the $2$-spherical non-affine case (which we leave open), we characterize the superstable Coxeter groups of finite rank, which we show to be essen
Autor:
Saharon Shelah, Gianluca Paolini
Publikováno v:
Israel Journal of Mathematics. 236:305-316
In [6], given a metrizable profinite group $G$, a cardinal invariant of the continuum $\mathfrak{fm}(G)$ was introduced, and a positive solution to the Haar Measure Problem for $G$ was given under the assumption that $\mathrm{non}(\mathcal{N}) \leq \
Autor:
Gianluca Paolini
Publikováno v:
Reports on Mathematical Logic. 55:87-111
We use a variation on Mason’s α-function as a pre-dimension function to construct a not one-based ω–stable plane P (i.e. a simple rank 3 matroid) which does not admit an algebraic representation (in the sense of matroid theory) over any field.
Autor:
Gianluca Paolini, Saharon Shelah
Publikováno v:
Journal of the London Mathematical Society. 100:383-403
We give strong necessary conditions on the admissibility of a Polish group topology for an arbitrary graph product of groups $G(\Gamma, G_a)$, and use them to give a characterization modulo a finite set of nodes. As a corollary, we give a complete ch
Autor:
Gianluca Paolini, Saharon Shelah
Publikováno v:
Fundamenta Mathematicae. 247:25-35
Let $\mathbf{K}$ be the class of countable structures $M$ with the strong small index property and locally finite algebraicity, and $\mathbf{K}_*$ the class of $M \in \mathbf{K}$ such that $acl_M(\{ a \}) = \{ a \}$ for every $a \in M$. For homogeneo
Autor:
John T. Baldwin, Gianluca Paolini
A linear space is a system of points and lines such that any two distinct points determine a unique line; a Steiner k-system (for $k \geq 2$ ) is a linear space such that each line has size exactly k. Clearly, as a two-sorted structure, no linear spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37eb898ec107034e48605d69ac596a47
http://hdl.handle.net/2318/1837544
http://hdl.handle.net/2318/1837544
Autor:
Tapani Hyttinen, Gianluca Paolini
Publikováno v:
Notre Dame J. Formal Logic 60, no. 4 (2019), 707-731
We study classes of right-angled Coxeter groups with respect to the strong submodel relation of a parabolic subgroup. We show that the class of all right-angled Coxeter groups is not smooth and establish some general combinatorial criteria for such c
Autor:
Saharon Shelah, Gianluca Paolini
Publikováno v:
Proceedings of the American Mathematical Society. 146:1439-1445
We study the automorphism group of Hall's universal locally finite group $H$. We show that in $Aut(H)$ every subgroup of index $< 2^\omega$ lies between the pointwise and the setwise stabilizer of a unique finite subgroup $A$ of $H$, and use this to