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Book A Classification of Groups of Order P superscript 6   P and Odd Prime

Download or read book A Classification of Groups of Order P superscript 6 P and Odd Prime written by Louis William Tordella and published by . This book was released on 1939 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Groups of Order P  Superscript M  Which Contain Cyclic Subgroups of Order M  Superscript M 3

Download or read book Groups of Order P Superscript M Which Contain Cyclic Subgroups of Order M Superscript M 3 written by Lewis Irving Neikirk and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the properties of groups of order p superscript m which contain cyclic subgroups of order m superscript m-3. The author discusses the classification of such groups, their structural properties, and their relationships to other groups. The book also includes examples and exercises to help readers deepen their understanding. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Book Groups of Prime Power Order

Download or read book Groups of Prime Power Order written by I︠A︡. G. Berkovich and published by de Gruyter. This book was released on 2008 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Main description: This is the first of three volumes on finite p-group theory. It presents the state of the art and in addition contains numerous new and easy proofs of famous theorems, many exercises (some of them with solutions), and about 1500 open problems. It is expected to be useful to certain applied mathematics areas, such as combinatorics, coding theory, and computer sciences. The book should also be easily comprehensible to students and scientists with some basic knowledge of group theory and algebra.

Book Groups of Order P   Which Contain Cyclic Subgroups of Order P        Classic Reprint

Download or read book Groups of Order P Which Contain Cyclic Subgroups of Order P Classic Reprint written by Lewis Irving Neikirk and published by . This book was released on 2016-06-26 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Book The Structure of Groups of Prime Power Order

Download or read book The Structure of Groups of Prime Power Order written by Charles Richard Leedham-Green and published by Clarendon Press. This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important monograph summarizing the development of a classification system of finite p-groups.

Book Groups of Order P  Superscript M  Which Contain Cyclic Subgroups of Order P  Superscript M 3

Download or read book Groups of Order P Superscript M Which Contain Cyclic Subgroups of Order P Superscript M 3 written by Lewis Irving Neikirk and published by Palala Press. This book was released on 2015-09-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Book Maximal Order of the Multiplying Group Corresponding to a P isomorphism of an Abelian Group of Order P superscript M

Download or read book Maximal Order of the Multiplying Group Corresponding to a P isomorphism of an Abelian Group of Order P superscript M written by George Abram Miller and published by . This book was released on 1913 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Groups of Order P  Superscript M  Which Contain Cyclic Subgroups of Order M  Superscript M 3    Primary Source Edition

Download or read book Groups of Order P Superscript M Which Contain Cyclic Subgroups of Order M Superscript M 3 Primary Source Edition written by Lewis Irving Neikirk and published by Nabu Press. This book was released on 2013-09 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Book Classification of Certain Families of Finite P Groups

Download or read book Classification of Certain Families of Finite P Groups written by Joseph P. Brennan and published by . This book was released on 2012 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1999 Simon Blackburn published a classification of finite groups of prime powered order for which the derived subgroup is of prime order. A n-generalized Blackburn group is defined to be a group of prime powered order which is of nilpotence class 2 and for which the derived subgroup is elementary abelian of rank n. In 1949 George Szekeres presented a determination of finite p-groups possessing an abelian maximal subgroup. Following Dr. Szekeres' construction, in 1974 Sam Conlon presented a classification of finite p-groups possessing an abelian maximal subgroup which have cyclic centers, refereed to here as Conlon groups. This dissertation has two parts. First, I present a classification for the subclass of 2-generalized Blackburn groups which have an odd prime powered order and a center of index p3. The isomorphism classes for such groups of order p5 are enumerated and a general algebraic construction is presented. Second, I present a separate classification for Conlon groups and two separate constructions for Conlon groups.

Book p groups of maximal class

    Book Details:
  • Author : Heiko Dietrich
  • Publisher : Sudwestdeutscher Verlag Fur Hochschulschriften AG
  • Release : 2009-08
  • ISBN : 9783838110059
  • Pages : 132 pages

Download or read book p groups of maximal class written by Heiko Dietrich and published by Sudwestdeutscher Verlag Fur Hochschulschriften AG. This book was released on 2009-08 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classification of finite p-groups up to isomorphism is an intricate problem in group theory. In particular, a classification by order seems to be hopeless in general. In 1980, Leedham-Green and Newman suggested to classify p-groups by coclass. This has led to a new research area which delivered a deep insight into the structure of p-groups. New approaches and results concerning a classification by coclass have been developed since 1999, and it is known that the 2-groups of fixed coclass can be classified. A fundamental tool in this approach is the investigation of the coclass graph associated with these groups. For odd primes, a similar classification is still open. As an important special case, the author Heiko Dietrich investigates the p-groups of coclass 1, that is, the p-groups of maximal class. These are the p-groups of order p to the power of n with nilpotency class n-1. He gives a survey on the known structure of these groups and he proved two types of periodic patterns in the associated coclass graph. These patterns are reflected in the structure of the groups and the achieved results strongly support the conjecture that the p-groups of maximal class can be classified.

Book Group Theory

    Book Details:
  • Author : R. A. Bryce
  • Publisher : Springer
  • Release : 2006-11-15
  • ISBN : 3540374280
  • Pages : 156 pages

Download or read book Group Theory written by R. A. Bryce and published by Springer. This book was released on 2006-11-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Determination of All the Groups of Order 2 superscript M  which Contain an Odd Number of Cyclic Subgroups of Composite Order

Download or read book Determination of All the Groups of Order 2 superscript M which Contain an Odd Number of Cyclic Subgroups of Composite Order written by George Abram Miller and published by . This book was released on 1905 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: