The Local Structure Theorem For Finite Groups With A Large P Subgroup
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The Local Structure Theorem For Finite Groups With A Large P Subgroup
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Author : U. Meierfrankenfeld
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-21
The Local Structure Theorem For Finite Groups With A Large P Subgroup written by U. Meierfrankenfeld and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Mathematics categories.
Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.
The Local Structure For Finite Groups With A Large P Subgroup
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Author : Ulrich Meierfrankenfeld
language : en
Publisher:
Release Date : 2016
The Local Structure For Finite Groups With A Large P Subgroup written by Ulrich Meierfrankenfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Finite groups categories.
How Local Is The Local Structure Theorem For Finite Groups With A Large P Subgroup
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Author : Edoardo Salati
language : en
Publisher:
Release Date : 2024
How Local Is The Local Structure Theorem For Finite Groups With A Large P Subgroup written by Edoardo Salati and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.
On Dwork S P Adic Formal Congruences Theorem And Hypergeometric Mirror Maps
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Author : E. Delaygue
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-02-20
On Dwork S P Adic Formal Congruences Theorem And Hypergeometric Mirror Maps written by E. Delaygue and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-20 with Mathematics categories.
Using Dwork's theory, the authors prove a broad generalization of his famous -adic formal congruences theorem. This enables them to prove certain -adic congruences for the generalized hypergeometric series with rational parameters; in particular, they hold for any prime number and not only for almost all primes. Furthermore, using Christol's functions, the authors provide an explicit formula for the “Eisenstein constant” of any hypergeometric series with rational parameters. As an application of these results, the authors obtain an arithmetic statement “on average” of a new type concerning the integrality of Taylor coefficients of the associated mirror maps. It contains all the similar univariate integrality results in the literature, with the exception of certain refinements that hold only in very particular cases.
Oseledec Multiplicative Ergodic Theorem For Laminations
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Author : Viêt-Anh Nguyên
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-02-20
Oseledec Multiplicative Ergodic Theorem For Laminations written by Viêt-Anh Nguyên and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-20 with Mathematics categories.
Given a -dimensional lamination endowed with a Riemannian metric, the author introduces the notion of a multiplicative cocycle of rank , where and are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of multiplicative cocycles. Next, the author defines the Lyapunov exponents of such a cocycle with respect to a harmonic probability measure directed by the lamination. He also proves an Oseledec multiplicative ergodic theorem in this context. This theorem implies the existence of an Oseledec decomposition almost everywhere which is holonomy invariant. Moreover, in the case of differentiable cocycles the author establishes effective integral estimates for the Lyapunov exponents. These results find applications in the geometric and dynamical theory of laminations. They are also applicable to (not necessarily closed) laminations with singularities. Interesting holonomy properties of a generic leaf of a foliation are obtained. The main ingredients of the author's method are the theory of Brownian motion, the analysis of the heat diffusions on Riemannian manifolds, the ergodic theory in discrete dynamics and a geometric study of laminations.
Hyperbolically Embedded Subgroups And Rotating Families In Groups Acting On Hyperbolic Spaces
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Author : F. Dahmani
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-01-18
Hyperbolically Embedded Subgroups And Rotating Families In Groups Acting On Hyperbolic Spaces written by F. Dahmani and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Mathematics categories.
he authors introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for developing a geometric version of small cancellation theory. Examples of such families naturally occur in groups acting on hyperbolic spaces including hyperbolic and relatively hyperbolic groups, mapping class groups, , and the Cremona group. Other examples can be found among groups acting geometrically on spaces, fundamental groups of graphs of groups, etc. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes. For instance, the authors solve two open problems about mapping class groups, and obtain some results which are new even for relatively hyperbolic groups.
L P Square Function Estimates On Spaces Of Homogeneous Type And On Uniformly Rectifiable Sets
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Author : Steve Hofmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-01-18
L P Square Function Estimates On Spaces Of Homogeneous Type And On Uniformly Rectifiable Sets written by Steve Hofmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Mathematics categories.
The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.
Rohlin Flows On Von Neumann Algebras
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Author : Toshihiko Masuda
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-10-05
Rohlin Flows On Von Neumann Algebras written by Toshihiko Masuda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-05 with Mathematics categories.
The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III0 factors. Several concrete examples are also studied.
Exotic Cluster Structures On Sl N The Cremmer Gervais Case
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Author : M. Gekhtman
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-02-20
Exotic Cluster Structures On Sl N The Cremmer Gervais Case written by M. Gekhtman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-20 with Mathematics categories.
This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson–Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin–Drinfeld classification of Poisson–Lie structures on corresponds to a cluster structure in . The authors have shown before that this conjecture holds for any in the case of the standard Poisson–Lie structure and for all Belavin–Drinfeld classes in , . In this paper the authors establish it for the Cremmer–Gervais Poisson–Lie structure on , which is the least similar to the standard one.
Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups
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Author : Matthew J. Emerton
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-13
Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups written by Matthew J. Emerton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-13 with Mathematics categories.
The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various “radii of analyticity”). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader.