Complementation Of Normal Subgroups
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Author | : Joseph Kirtland |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 176 |
Release | : 2017-09-11 |
Genre | : Mathematics |
ISBN | : 3110478927 |
Download Complementation of Normal Subgroups Book in PDF, Epub and Kindle
Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented
Author | : Ossie John Huval |
Publisher | : |
Total Pages | : 74 |
Release | : 1958 |
Genre | : Group theory |
ISBN | : |
Download On Complementation of Normal Subgroups and on Automorphisms of Groups Book in PDF, Epub and Kindle
Author | : Adolfo Ballester-Bolinches |
Publisher | : Springer Science & Business Media |
Total Pages | : 391 |
Release | : 2006-07-10 |
Genre | : Mathematics |
ISBN | : 1402047193 |
Download Classes of Finite Groups Book in PDF, Epub and Kindle
This book covers the latest achievements of the Theory of Classes of Finite Groups. It introduces some unpublished and fundamental advances in this Theory and provides a new insight into some classic facts in this area. By gathering the research of many authors scattered in hundreds of papers the book contributes to the understanding of the structure of finite groups by adapting and extending the successful techniques of the Theory of Finite Soluble Groups.
Author | : Suzanne Dorée |
Publisher | : |
Total Pages | : 244 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Subgroups with the Character Restriction Property and Normal Complements Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 224 |
Release | : 1975-08 |
Genre | : |
ISBN | : |
Download Canadian Journal of Mathematics Book in PDF, Epub and Kindle
Author | : Marcus du Sautoy |
Publisher | : Springer Science & Business Media |
Total Pages | : 434 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461213800 |
Download New Horizons in pro-p Groups Book in PDF, Epub and Kindle
A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Author | : Peter Jephson Cameron |
Publisher | : Oxford University Press, USA |
Total Pages | : 320 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9780198501954 |
Download Introduction to Algebra Book in PDF, Epub and Kindle
This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, asstudents gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapteroutlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.
Author | : Pierre-Emmanuel Caprace |
Publisher | : Cambridge University Press |
Total Pages | : 368 |
Release | : 2018-02-08 |
Genre | : Mathematics |
ISBN | : 1108351948 |
Download New Directions in Locally Compact Groups Book in PDF, Epub and Kindle
This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.
Author | : |
Publisher | : |
Total Pages | : 910 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : |
Download Soviet Mathematics Book in PDF, Epub and Kindle
Author | : Hans J. Zassenhaus |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2013-09-16 |
Genre | : Mathematics |
ISBN | : 048616568X |
Download The Theory of Groups Book in PDF, Epub and Kindle
Well-written graduate-level text acquaints reader with group-theoretic methods and demonstrates their usefulness in mathematics. Axioms, the calculus of complexes, homomorphic mapping, p-group theory, more. Many proofs shorter and more transparent than older ones.