102,137 research outputs found
Caratteristiche dell’intervento di mediazione familiare, in G. Maggioni (ed.), I. Quadrelli, B. Polini, A. Vincenti, Monitoraggio dei servizi pubblici di mediazione familiare nella Regione Marche
No full text1-smooth pro-p groups and Bloch-Kato pro-p groups
No full textLet be a prime. A pro- group is said to be 1-smooth if it can be
endowed with a homomorphism of pro- groups satisfying
a formal version of Hilbert 90. By Kummer theory, maximal pro- Galois groups
of fields containing a root of 1 of order , together with the cyclotomic
character, are 1-smooth. We prove that a finitely generated -adic analytic
pro- group is 1-smooth if, and only if, it occurs as the maximal pro-
Galois group of a field containing a root of 1 of order . This gives a
positive answer to De Clerq-Florence's "Smoothness Conjecture" - which states
that the Rost-Voevodsky Theorem (a.k.a. Bloch-Kato Conjecture) follows from
1-smoothness - for the class of finitely generated -adic analytic pro-
groups.Comment: To appear on 'Homology, Homotopy and Applications'. The current
version of this paper is only one half of the original paper (versions
v1--v4), as the author decided to split the original paper after its
rejection from the referred journal which it was submitted to, more than 2
years ago (see Remark 1.2 for details
Directed graphs, Frattini-resistance, and maximal pro- Galois groups
No full textLet be a prime. Following Snopce-Tanushevski, a pro- group is called Frattini-resistant if the function , from the poset of all closed finitely-generated subgroups of into itself, is a poset embedding. We prove that for an oriented right-angled Artin pro- group (oriented pro- RAAG) associated to a directed graph the following four conditions are equivalent: the associated directed graph is of elementary type; is Frattini-resistant; every topologically finitely generated closed subgroup of is an oriented pro- RAAG; is the maximal pro- Galois group of a field containing a root of 1 of order . Also, we conjecture that in the -cohomology of a Frattini-resistant pro- group there are no essential triple Massey products.Final version, as it will appear on JPA
Bloch-Kato pro-p groups and locally powerful groups
No full textA Bloch-Kato pro-p group G is a pro-p group with the property that the Fp-cohomology ring of every closed subgroup of G is quadratic. It is shown that either such a pro-p group G contains no closed free pro-p groups of infinite rank, or there exists an orientation θ:G ! Z×p such that G is θ-abelian. In case that G is also finitely generated, this implies that G is powerful, p-adic analytic with d.G/ D cd.G/, and its Fp-cohomology ring is an exterior algebra. These results will be obtained by studying locally powerful groups. There are certain Galois-theoretical implications, since Bloch-Kato pro-p groups arise naturally as maximal pro-p quotients and pro-p Sylow subgroups of absolute Galois groups. Finally, we study certain closure operations of the class of Bloch-Kato pro-p groups, connected with the Elementary Type Conjecture
Galois-theoretic features for 1-smooth pro-p groups
No full textAbstract. Let p be a prime. A pro-p group G is said to be 1-smooth if it can be endowed with a continuous representation θ : G → GL1 (Z p ) such that every open subgroup H of G, together with the restriction θ |H , satisfies a formal version of Hilbert 90. We prove that every 1-smooth pro-p group contains a unique maximal closed abelian normal subgroup, in analogy with a result by Engler and Koenigsmann on maximal pro-p Galois groups of fields, and that if a 1-smooth pro-p group is solvable, then it is locally uniformly powerful, in analogy with a result by Ware on maximal pro-p Galois groups of fields. Finally we ask whether 1-smooth pro-p groups satisfy a “Tits’ alternative”
Finite quotients of Galois pro- groups and rigid fields
No full textFor a prime number , we show that if two certain canonical finite
quotients of a finitely generated Bloch-Kato pro- group coincide, then
has a very simple structure, i.e., is a -adic analytic pro-
group. This result has a remarkable Galois-theoretic consequence: if the two
corresponding canonical finite extensions and of a
field -- with containing a primitive -th root of unity -- coincide,
then is -rigid. The proof relies only on group-theoretic tools, and on
certain properties of Bloch-Kato pro- groups.Comment: 8 pages, to appear on the Annales math\'ematiques du Qu\'ebe
ATOMIC LAYER DEPOSITION OF MOS2 AND ZIF-8: UNRAVELING ORGANOMETALLIC GROWTH MECHANISMS OF ATOMICALLY -THIN LAYERS ON FLAT SUPPORTS
No full textSSCI-VIDE+ING+EQDInternational audienceAtomic Layer Deposition (ALD) is a gas-phase deposition technique based on sequential, self-limiting surface reactions which appears well-adapted to obtain conformal film growth with precise thickness level control, good reproducibility and homogeneity over nanostructured supports.[1] This property is relevant for example, for the functionalization of nanostructured supports useful for energy conversion devices.[1]In this talk we will show the use of surface organometallic chemistry to discover and transfer to industrially relevant substrates novel ALD Processes for the growth of targeted phases. Examples will be given on MoS2, [2] Al2O3@BiVO4 [3], TiS2[4] and the porous metal organic framework ZIF-8[5]. ______________References: [1] J. Bachmann, Beilstein J. Nanotechnol. 2014, 5, 245–248[2] Cadot, S; Renault, O. ; Fregnaux, M.; Rouchon, D.; Nolot, E.; Szeto, K.; Thieuleux, C.; Veyre, L.; Okuno, H. ; Martin, F*. et Quadrelli , E. A.* Nanoscale, 9 , 538-546 (2017). DOIhttps://doi.org/10.1039/C6NR06021H[3] K. R Tolod,* T. Saboo; S. P. Hernández,* H. Guzman, M. Castellino, R. Irani, P. Bogdanoff, F. F Abdi, E. A. Quadrelli, N. Russo Appl. Catl. A. 605, 117796 (2020) https://doi.org/10.1016/j.apcata.2020.117796 .......[4] “Transition Metal Dichalcogenide TiS2 prepared by Molecular Layer Deposition and thermal annealing: atomic-level insights with In situ X-ray studies and molecular surface chemistry”. P. Abi Younes,*, E. V. Skopin, M. Zhukush, N. Gauthier, L. Rapenne, H. Roussel, N. Aubert, L. Khrouz, C. Camp, M. I. Richard, N. Schneider, G. Ciatto, D. Rouchon, E. A. Quadrelli,* and H. Renevier,* , in preparation [5] V. Perrot, A. Roussey, F. Ricoul, A. Benayad, M. Veillerot. A. Sole-Daura, J. Canivet, C. mellot-Draznieks, Elsje A. Quadrelli,* Vincent Jousseaume*, in preparatio
The Kummerian property and maximal pro-p Galois groups
No full textFor a prime number p, we give a new restriction on pro-p groups G which are realizable as the maximal pro-p Galois group GF(p) for a field F containing a root of unity of order p. This restriction arises from Kummer Theory and the structure of the maximal p-radical extension of F. We study it in the abstract context of pro-p groups G with a continuous homomorphism θ:G→1+pZp, and characterize it cohomologically, and in terms of 1-cocycles on G. This is used to produce new examples of pro-p groups which do not occur as maximal pro-p Galois groups of fields as abov
Oriented pro-l groups with the Bogomolov-Positselski property
No full textFor a prime number l we say that an oriented pro-l group (G,θ) has the Bogomolov-Positselski property if the kernel of the canonical projection on its maximal θ-abelian quotient π:G→G(θ) is a free pro-l group contained in the Frattini subgroup of G. We show that oriented pro-l groups of elementary type have the Bogomolov-Positselski property. This shows that Efrat's Elementary Type Conjecture implies a positive answer to Positselski's version of Bogomolov's Conjecture on maximal pro-l Galois groups of a field K in case that K*/(K*)l is finite. Secondly, it is shown that for an H*-quadratic oriented pro-l group (G,θ) the Bogomolov-Positselski property can be expressed by the injectivity of the transgression map in the Hochschild-Serre spectral sequence
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