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How Local Is The Local Structure Theorem For Finite Groups With A Large P Subgroup


How Local Is 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


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


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.




Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups


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.



How Local Is The Local Structure Theorem For Finite Groups With A Large P Subgroup


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


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.



Rohlin Flows On Von Neumann Algebras


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.



Hyperbolically Embedded Subgroups And Rotating Families In Groups Acting On Hyperbolic Spaces


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.



Oseledec Multiplicative Ergodic Theorem For Laminations


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.



Semicrossed Products Of Operator Algebras By Semigroups


Semicrossed Products Of Operator Algebras By Semigroups
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Author : Kenneth R. Davidson
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-25

Semicrossed Products Of Operator Algebras By Semigroups written by Kenneth R. Davidson 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 2017-04-25 with Mathematics categories.


The authors examine the semicrossed products of a semigroup action by -endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.



The Abc Problem For Gabor Systems


The Abc Problem For Gabor Systems
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Author : Xin-Rong Dai
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-10-05

The Abc Problem For Gabor Systems written by Xin-Rong Dai 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.


A longstanding problem in Gabor theory is to identify time-frequency shifting lattices aZ×bZ and ideal window functions χI on intervals I of length c such that {e−2πinbtχI(t−ma): (m,n)∈Z×Z} are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above abc-problem for Gabor systems.