Orders and Generic Constructions of Units

Orders and Generic Constructions of Units PDF Author: Eric Jespers
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110372940
Category : Mathematics
Languages : en
Pages : 460

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Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.

Orders and Generic Constructions of Units

Orders and Generic Constructions of Units PDF Author: Eric Jespers
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110372940
Category : Mathematics
Languages : en
Pages : 460

Get Book Here

Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.

Orders and Generic Constructions of Units

Orders and Generic Constructions of Units PDF Author: Eric Jespers
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110386178
Category : Mathematics
Languages : en
Pages : 584

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Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.

Structure Theorems of Unit Groups

Structure Theorems of Unit Groups PDF Author: Eric Jespers
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110411504
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory PDF Author: Gebhard Böckle
Publisher: Springer
ISBN: 3319705660
Category : Mathematics
Languages : en
Pages : 753

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Book Description
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Group Theory and Computation

Group Theory and Computation PDF Author: N.S. Narasimha Sastry
Publisher: Springer
ISBN: 9811320470
Category : Mathematics
Languages : en
Pages : 213

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Book Description
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

Summit Pumped Storage Hydroelectric Project No.9423-001, Construction, Operation, Maintenance, Norton

Summit Pumped Storage Hydroelectric Project No.9423-001, Construction, Operation, Maintenance, Norton PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 380

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Book Description


Groups, Rings and Group Rings

Groups, Rings and Group Rings PDF Author: Antonio Giambruno
Publisher: CRC Press
ISBN: 1420010964
Category : Mathematics
Languages : en
Pages : 369

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Book Description
This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f

Software Engineering - ESEC/FSE '99

Software Engineering - ESEC/FSE '99 PDF Author: Oskar Nierstrasz
Publisher: Springer Science & Business Media
ISBN: 3540665382
Category : Computers
Languages : en
Pages : 542

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Book Description
For the second time, the European Software Engineering Conference is being held jointly with the ACM SIGSOFT Symposium on the Foundations of Software Engine- ing (FSE). Although the two conferences have different origins and traditions, there is a significant overlap in intent and subject matter. Holding the conferences jointly when they are held in Europe helps to make these thematic links more explicit, and enco- ages researchers and practitioners to attend and submit papers to both events. The ESEC proceedings have traditionally been published by Springer-Verlag, as they are again this year, but by special arrangement, the proceedings will be distributed to members of ACM SIGSOFT, as is usually the case for FSE. ESEC/FSE is being held as a single event, rather than as a pair of collocated events. Submitted papers were therefore evaluated by a single program committee. ESEC/FSE represents a broad range of software engineering topics in (mainly) two continents, and consequently the program committee members were selected to represent a spectrum of both traditional and emerging software engineering topics. A total of 141 papers were submitted from around the globe. Of these, nearly half were classified as research - pers,aquarterasexperiencepapers,andtherestasbothresearchandexperiencepapers. Twenty-nine papers from five continents were selected for presentation and inclusion in the proceedings. Due to the large number of industrial experience reports submitted, we have also introduced this year two sessions on short case study presentations.

Nuclear Regulatory Commission Issuances

Nuclear Regulatory Commission Issuances PDF Author: U.S. Nuclear Regulatory Commission
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1066

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Book Description


Design Patterns in Fluid Construction Grammar

Design Patterns in Fluid Construction Grammar PDF Author: Luc Steels
Publisher: John Benjamins Publishing
ISBN: 9027204330
Category : Language Arts & Disciplines
Languages : en
Pages : 345

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Book Description
Construction Grammar is enthusiastically embraced by a growing group of linguists who find it a natural way to formulate their analyses. But so far there is no widespread formalization of construction grammar with a solid computational implementation. Fluid Construction Grammar attempts to fill this gap. It is a fully operational computational framework capturing many key concepts in construction grammar. The present book is the first extensive publication describing this framework. In addition to general introductions, it gives a number of concrete examples through a series of linguistically challenging case studies, including phrase structure, case grammar, and modality. The book is suited both for linguists who want to know what Fluid Construction Grammar looks like and for computational linguists who may want to use this computational framework for their own experiments or applications.