Infinite Group Rings
Title | Infinite Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | |
Pages | 176 |
Release | 1971 |
Genre | Mathematics |
ISBN |
The algebraic study of group rings was initiated in 1949 by I. Kaplansky. The subject has been pursued by a small but growing number of researchers, and has reached a point in its development where a coherent account of the basic results is needed. That is the goal of this text. The topics covered are selective, with material balanced between ring theory and group theory, and a basic one year course in algebra should provide sufficient background for readers.
The Algebraic Structure of Group Rings
Title | The Algebraic Structure of Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | Courier Corporation |
Pages | 754 |
Release | 2011-01-01 |
Genre | Mathematics |
ISBN | 0486482065 |
"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--
Infinite Groups And Group Rings - Proceedings Of The Ams Special Session
Title | Infinite Groups And Group Rings - Proceedings Of The Ams Special Session PDF eBook |
Author | Jon M Corson |
Publisher | World Scientific |
Pages | 158 |
Release | 1993-09-07 |
Genre | |
ISBN | 9814551910 |
This proceedings volume consists of contributed papers which deal with diverse topics ranging from logical questions to geometric methods and covering both integral group rings and group algebras. Some papers are research announcements, or of a descriptive nature, while others are research papers.
Infinite Group Theory: From The Past To The Future
Title | Infinite Group Theory: From The Past To The Future PDF eBook |
Author | Paul Baginski |
Publisher | World Scientific |
Pages | 258 |
Release | 2017-12-26 |
Genre | Mathematics |
ISBN | 9813204060 |
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.
A Mutiny in Time (Infinity Ring, Book 1)
Title | A Mutiny in Time (Infinity Ring, Book 1) PDF eBook |
Author | James Dashner |
Publisher | Scholastic Inc. |
Pages | 225 |
Release | 2012-08-28 |
Genre | Juvenile Fiction |
ISBN | 0545473942 |
Scholastic's next multi-platform mega-event begins here!History is broken, and three kids must travel back in time to set it right!When best friends Dak Smyth and Sera Froste stumble upon the secret of time travel -- a hand-held device known as the Infinity Ring -- they're swept up in a centuries-long secret war for the fate of mankind. Recruited by the Hystorians, a secret society that dates back to Aristotle, the kids learn that history has gone disastrously off course.Now it's up to Dak, Sera, and teenage Hystorian-in-training Riq to travel back in time to fix the Great Breaks . . . and to save Dak's missing parents while they're at it. First stop: Spain, 1492, where a sailor named Christopher Columbus is about to be thrown overboard in a deadly mutiny!
Infinite Groups and Group Rings
Title | Infinite Groups and Group Rings PDF eBook |
Author | Daniel Farkas |
Publisher | |
Pages | 66 |
Release | 1973 |
Genre | Group theory |
ISBN |
Infinite Linear Groups
Title | Infinite Linear Groups PDF eBook |
Author | Bertram Wehrfritz |
Publisher | Springer Science & Business Media |
Pages | 243 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642870813 |
By a linear group we mean essentially a group of invertible matrices with entries in some commutative field. A phenomenon of the last twenty years or so has been the increasing use of properties of infinite linear groups in the theory of (abstract) groups, although the story of infinite linear groups as such goes back to the early years of this century with the work of Burnside and Schur particularly. Infinite linear groups arise in group theory in a number of contexts. One of the most common is via the automorphism groups of certain types of abelian groups, such as free abelian groups of finite rank, torsion-free abelian groups of finite rank and divisible abelian p-groups of finite rank. Following pioneering work of Mal'cev many authors have studied soluble groups satisfying various rank restrictions and their automor phism groups in this way, and properties of infinite linear groups now play the central role in the theory of these groups. It has recently been realized that the automorphism groups of certain finitely generated soluble (in particular finitely generated metabelian) groups contain significant factors isomorphic to groups of automorphisms of finitely generated modules over certain commutative Noetherian rings. The results of our Chapter 13, which studies such groups of automorphisms, can be used to give much information here.