The Primitive Soluble Permutation Groups of Degree Less than 256 PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Primitive Soluble Permutation Groups of Degree Less than 256 PDF full book. Access full book title The Primitive Soluble Permutation Groups of Degree Less than 256 by Mark W. Short. Download full books in PDF and EPUB format.
Author: Mark W. Short
Publisher: Springer
ISBN: 3540471200
Category : Mathematics
Languages : en
Pages : 153
Get Book Here
Book Description
This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups.
Author: Mark W. Short
Publisher: Springer
ISBN: 3540471200
Category : Mathematics
Languages : en
Pages : 153
Get Book Here
Book Description
This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups.
Author: Mark William Short
Publisher:
ISBN:
Category : Solvable groups
Languages : en
Pages : 169
Get Book Here
Book Description
Author: Luise-Charlotte Kappe
Publisher: American Mathematical Soc.
ISBN: 0821848054
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
This volume consists of contributions by researchers who were invited to the Harlaxton Conference on Computational Group Theory and Cohomology, held in August of 2008, and to the AMS Special Session on Computational Group Theory, held in October 2008. This volume showcases examples of how Computational Group Theory can be applied to a wide range of theoretical aspects of group theory. Among the problems studied in this book are classification of p-groups, covers of Lie groups, resolutions of Bieberbach groups, and the study of the lower central series of free groups. This volume also includes expository articles on the probabilistic zeta function of a group and on enumerating subgroups of symmetric groups. Researchers and graduate students working in all areas of Group Theory will find many examples of how Computational Group Theory helps at various stages of the research process, from developing conjectures through the verification stage. These examples will suggest to the mathematician ways to incorporate Computational Group Theory into their own research endeavors.
Author: Konrad K. Dabrowski
Publisher: Cambridge University Press
ISBN: 1009018884
Category : Mathematics
Languages : en
Pages : 379
Get Book Here
Book Description
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author: Wieb Bosma
Publisher: Springer Science & Business Media
ISBN: 3540376348
Category : Computers
Languages : en
Pages : 387
Get Book Here
Book Description
Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.
Author: John D. Dixon
Publisher: Springer Science & Business Media
ISBN: 1461207312
Category : Mathematics
Languages : en
Pages : 360
Get Book Here
Book Description
Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Author: Peter J. Cameron
Publisher: Cambridge University Press
ISBN: 9780521653787
Category : Mathematics
Languages : en
Pages : 236
Get Book Here
Book Description
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Author: James Cossey
Publisher: Springer Nature
ISBN: 3031507061
Category :
Languages : en
Pages : 159
Get Book Here
Book Description
Author: David A. Cox
Publisher: John Wiley & Sons
ISBN: 1118218426
Category : Mathematics
Languages : en
Pages : 602
Get Book Here
Book Description
Praise for the First Edition ". . .will certainly fascinate anyone interested in abstractalgebra: a remarkable book!" —Monatshefte fur Mathematik Galois theory is one of the most established topics inmathematics, with historical roots that led to the development ofmany central concepts in modern algebra, including groups andfields. Covering classic applications of the theory, such assolvability by radicals, geometric constructions, and finitefields, Galois Theory, Second Edition delves into noveltopics like Abel’s theory of Abelian equations, casusirreducibili, and the Galois theory of origami. In addition, this book features detailed treatments of severaltopics not covered in standard texts on Galois theory,including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois's results about irreducible polynomials of primeor prime-squared degree Abel's theorem about geometric constructions on thelemniscates Galois groups of quartic polynomials in allcharacteristics Throughout the book, intriguing Mathematical Notes andHistorical Notes sections clarify the discussed ideas andthe historical context; numerous exercises and examples use Mapleand Mathematica to showcase the computations related to Galoistheory; and extensive references have been added to provide readerswith additional resources for further study. Galois Theory, Second Edition is an excellent book forcourses on abstract algebra at the upper-undergraduate and graduatelevels. The book also serves as an interesting reference for anyonewith a general interest in Galois theory and its contributions tothe field of mathematics.
Author: Derek F. Holt
Publisher: CRC Press
ISBN: 1420035215
Category : Mathematics
Languages : en
Pages : 532
Get Book Here
Book Description
The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame
