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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 Prime Power Order Volume 5

Download or read book Groups of Prime Power Order Volume 5 written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-01-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Book Groups of Prime Power Order

Download or read book Groups of Prime Power Order written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-12-14 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-groups Ishikawa’s theorem on p-groups with two sizes of conjugate classes p-central p-groups theorem of Kegel on nilpotence of H p-groups partitions of p-groups characterizations of Dedekindian groups norm of p-groups p-groups with 2-uniserial subgroups of small order The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra.

Book Groups of Prime Power Order Volume 2

Download or read book Groups of Prime Power Order Volume 2 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2008-12-10 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n > 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.

Book Group Rings of Finite Groups Over p adic Integers

Download or read book Group Rings of Finite Groups Over p adic Integers written by W. Plesken and published by Springer. This book was released on 2006-11-14 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Groups of Prime Power Order Volume 3

Download or read book Groups of Prime Power Order Volume 3 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2011-06-30 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

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 Theory and Applications of Finite Groups

Download or read book Theory and Applications of Finite Groups written by George Abram Miller and published by . This book was released on 1961 with total page 424 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 Direct Sum Decompositions of Torsion Free Finite Rank Groups

Download or read book Direct Sum Decompositions of Torsion Free Finite Rank Groups written by Theodore G. Faticoni and published by CRC Press. This book was released on 2007-03-28 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups

Book Maximal Orders

Download or read book Maximal Orders written by Irving Reiner and published by . This book was released on 1975 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 A Collection of Manuscripts Written in Honour of John H Coates on the Occasion of His Sixtieth Birthday

Download or read book A Collection of Manuscripts Written in Honour of John H Coates on the Occasion of His Sixtieth Birthday written by I. Fesenko and published by American Mathematical Society(RI). This book was released on 2006 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Professor John H. Coates, an outstanding contributor to number theory, both through his pioneering and fundamental mathematical works and through the magnificent mathematical school he has established. It contains 24 articles written by 38 authors on a wide range of topics in the cutting edge of research in number theory, algebraic geometry and analysis: zeta functions and $L$-functions, automorphic and modularity issues, Galois representations,arithmetic of elliptic curves, Iwasawa theory, noncommutative Iwasawa theory, and $p$-adic analysis. This volume will be of interest to researchers and students in these and neighboring fields. Information for our distributors: A publication of the Documenta Mathematica. The AMS distributes this series,beginning with volume 3, in the United States, Canada, and Mexico.