The Sylow Subgroups of the Symmetric Group ... PDF Download
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Author: William Findlay
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 24
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Book Description
Author: William Findlay
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 24
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Book Description
Author: William Findlay
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Martyn Russell Dixon
Publisher: World Scientific
ISBN: 9789810217952
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 0821823442
Category : Sporadic groups
Languages : en
Pages : 242
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Book Description
The maximal overgroups of noncyclic Sylow subgroups of the sporadic finite simple groups are determined. Moreover a geometric structure is associated to this collection of overgroups, which is useful in the study of sporadic groups.
Author: Derek J.S. Robinson
Publisher: Springer Science & Business Media
ISBN: 1468401289
Category : Mathematics
Languages : en
Pages : 498
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Book Description
" A group is defined by means of the laws of combinations of its symbols," according to a celebrated dictum of Cayley. And this is probably still as good a one-line explanation as any. The concept of a group is surely one of the central ideas of mathematics. Certainly there are a few branches of that science in which groups are not employed implicitly or explicitly. Nor is the use of groups confined to pure mathematics. Quantum theory, molecular and atomic structure, and crystallography are just a few of the areas of science in which the idea of a group as a measure of symmetry has played an important part. The theory of groups is the oldest branch of modern algebra. Its origins are to be found in the work of Joseph Louis Lagrange (1736-1813), Paulo Ruffini (1765-1822), and Evariste Galois (1811-1832) on the theory of algebraic equations. Their groups consisted of permutations of the variables or of the roots of polynomials, and indeed for much of the nineteenth century all groups were finite permutation groups. Nevertheless many of the fundamental ideas of group theory were introduced by these early workers and their successors, Augustin Louis Cauchy (1789-1857), Ludwig Sylow (1832-1918), Camille Jordan (1838-1922) among others. The concept of an abstract group is clearly recognizable in the work of Arthur Cayley (1821-1895) but it did not really win widespread acceptance until Walther von Dyck (1856-1934) introduced presentations of groups.
Author: Marshall Hall
Publisher: Courier Dover Publications
ISBN: 0486816907
Category : Mathematics
Languages : en
Pages : 451
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Book Description
This 1959 text offers an unsurpassed resource for learning and reviewing the basics of a fundamental and ever-expanding area. "This remarkable book undoubtedly will become a standard text on group theory." — American Scientist.
Author: John P. Napoli
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 94
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Book Description
Author: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 0817683011
Category : Mathematics
Languages : en
Pages : 385
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Book Description
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Author: Helmut Wielandt
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 78
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Author: Thomas Kevin Meehan
Publisher:
ISBN:
Category : Finite fields (Algebra)
Languages : en
Pages : 226
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Book Description
