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Groups Of Order P Which Contain Cyclic Subgroups Of Order P Classic Reprint


Groups Of Order P Which Contain Cyclic Subgroups Of Order P Classic Reprint
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Groups Of Order P Which Contain Cyclic Subgroups Of Order P Classic Reprint


Groups Of Order P Which Contain Cyclic Subgroups Of Order P Classic Reprint
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Author : Lewis Irving Neikirk
language : en
Publisher:
Release Date : 2016-06-26

Groups Of Order P Which Contain Cyclic Subgroups Of Order P Classic Reprint written by Lewis Irving Neikirk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-26 with Mathematics categories.


Excerpt from Groups of Order P Which Contain Cyclic Subgroups of Order P This monograph was begun in 1902-3. Class I, Class II, Part I, and the self-conjugate groups of Class III, which contain all the groups with independent generators, formed the thesis which I presented to the Faculty of Philosophy of the University of Pennsylvania in June, 1903, in partial fulfillment of the requirements for the degree of Doctor of Philosophy. The entire paper was rewritten and the other groups added while the author was Research Fellow in Mathematics at the University. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."



Groups Of Order Pm Which Contain Cyclic Subgroups Of Order Pm 3


Groups Of Order Pm Which Contain Cyclic Subgroups Of Order Pm 3
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Author : Lewis Irving Neikirk
language : en
Publisher:
Release Date : 1905

Groups Of Order Pm Which Contain Cyclic Subgroups Of Order Pm 3 written by Lewis Irving Neikirk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1905 with Group theory categories.




A Course On Finite Groups


A Course On Finite Groups
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Author : H.E. Rose
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-16

A Course On Finite Groups written by H.E. Rose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-16 with Mathematics categories.


Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects. Provides a wealth of exercises and problems to support self-study. Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.



Publications Math Matiques De Besan On N 1 2010


Publications Math Matiques De Besan On N 1 2010
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Author : Patrick Hild
language : en
Publisher: Presses Univ. Franche-Comté
Release Date : 2010-03

Publications Math Matiques De Besan On N 1 2010 written by Patrick Hild and has been published by Presses Univ. Franche-Comté this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03 with categories.




Surveys In Combinatorics 2013


Surveys In Combinatorics 2013
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Author : Simon R. Blackburn
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-27

Surveys In Combinatorics 2013 written by Simon R. Blackburn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-27 with Mathematics categories.


This volume contains nine survey articles based on the invited lectures given at the 24th British Combinatorial Conference, held at Royal Holloway, University of London in July 2013. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, matroid theory and automatic counting, as well as connections to coding theory and Bent functions. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.



Algebraic Curves Over A Finite Field


Algebraic Curves Over A Finite Field
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Author : J. W. P. Hirschfeld
language : en
Publisher: Princeton University Press
Release Date : 2013-03-25

Algebraic Curves Over A Finite Field written by J. W. P. Hirschfeld and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-25 with Mathematics categories.


This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.



The Classical Fields


The Classical Fields
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Author : H. Salzmann
language : en
Publisher: Cambridge University Press
Release Date : 2007-08-23

The Classical Fields written by H. Salzmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-23 with Mathematics categories.


The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.



Frobenius Groups And Classical Maximal Orders


Frobenius Groups And Classical Maximal Orders
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Author : Ron Brown
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Frobenius Groups And Classical Maximal Orders written by Ron Brown 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 2001 with Mathematics categories.


Introduction Lemmas on truncated group rings Groups of real quaternions Proof of the classification theorem Frobenius complements with core index 1 Frobenius complements with core index 4 Frobenius complements with core index 12 Frobenius complements with core index 24 Frobenius complements with core index 60 Frobenius complements with core index 120 Counting Frobenius complements Maximal orders Isomorphism classes of Frobenius groups with Abelian Frobenius kernel Concrete constructions of Frobenius groups Counting Frobenius groups with Abelian Frobenius kernel Isomorphism invariants for Frobenius complements Schur indices and finite subgroups of division rings Bibliography



The Minimal Polynomials Of Unipotent Elements In Irreducible Representations Of The Classical Groups In Odd Characteristic


The Minimal Polynomials Of Unipotent Elements In Irreducible Representations Of The Classical Groups In Odd Characteristic
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Author : Irina D. Suprunenko
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05

The Minimal Polynomials Of Unipotent Elements In Irreducible Representations Of The Classical Groups In Odd Characteristic written by Irina D. Suprunenko 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 2009-06-05 with Mathematics categories.


The minimal polynomials of the images of unipotent elements in irreducible rational representations of the classical algebraic groups over fields of odd characteristic are found. These polynomials have the form $(t-1)^d$ and hence are completely determined by their degrees. In positive characteristic the degree of such polynomial cannot exceed the order of a relevant element. It occurs that for each unipotent element the degree of its minimal polynomial in an irreducible representation is equal to the order of this element provided the highest weight of the representation is large enough with respect to the ground field characteristic. On the other hand, classes of unipotent elements for which in every nontrivial representation the degree of the minimal polynomial is equal to the order of the element are indicated. In the general case the problem of computing the minimal polynomial of the image of a given element of order $p^s$ in a fixed irreducible representation of a classical group over a field of characteristic $p>2$ can be reduced to a similar problem for certain $s$ unipotent elements and a certain irreducible representation of some semisimple group over the field of complex numbers. For the latter problem an explicit algorithm is given. Results of explicit computations for groups of small ranks are contained in Tables I-XII. The article may be regarded as a contribution to the programme of extending the fundamental results of Hall and Higman (1956) on the minimal polynomials from $p$-solvable linear groups to semisimple groups.



Classical Theory Of Algebraic Numbers


Classical Theory Of Algebraic Numbers
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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03-30

Classical Theory Of Algebraic Numbers written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-30 with Mathematics categories.


The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.