Symmetric Generation of Groups

Symmetric Generation of Groups PDF Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 052185721X
Category : Mathematics
Languages : en
Pages : 333

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Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.

Symmetric Generation of Groups

Symmetric Generation of Groups PDF Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 052185721X
Category : Mathematics
Languages : en
Pages : 333

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Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.

The Atlas of Finite Groups - Ten Years On

The Atlas of Finite Groups - Ten Years On PDF Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 0521575877
Category : Mathematics
Languages : en
Pages : 315

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Book Description
Proceedings containing twenty articles by leading experts in group theory and its applications.

Representations of the Infinite Symmetric Group

Representations of the Infinite Symmetric Group PDF Author: Alexei Borodin
Publisher: Cambridge University Press
ISBN: 1107175550
Category : Mathematics
Languages : en
Pages : 169

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Book Description
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

The Symmetric Group in Quantum Chemistry

The Symmetric Group in Quantum Chemistry PDF Author: R. Pauncz
Publisher: CRC Press
ISBN: 1351094122
Category : Science
Languages : en
Pages : 260

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Book Description
This is the first book to provide comprehensive treatment of the use of the symmetric group in quantum chemical structures of atoms, molecules, and solids. It begins with the conventional Slater determinant approach and proceeds to the basics of the symmetric group and the construction of spin eigenfunctions. The heart of the book is in the chapter dealing with spin-free quantum chemistry showing the great interpretation value of this method. The last three chapters include the unitary group approach, the symmetric group approach, and the spin-coupled valence bond method. An extensive bibliography concludes the book.

Groups St Andrews 2009 in Bath: Volume 2

Groups St Andrews 2009 in Bath: Volume 2 PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1139498282
Category : Mathematics
Languages : en
Pages : 305

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Book Description
This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.

Generators and Relations in Groups and Geometries

Generators and Relations in Groups and Geometries PDF Author: A. Barlotti
Publisher: Springer Science & Business Media
ISBN: 9401133824
Category : Mathematics
Languages : en
Pages : 455

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Book Description
Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance.

The neutrosophic strongly open maps in neutrosophic bi-topological spaces

The neutrosophic strongly open maps in neutrosophic bi-topological spaces PDF Author: Nadia M. Ali Abbas
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

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Book Description
In this work, some new classes of neutrosophic (1,2)-maps are investigated and discussed their basic attributions in neutrosophic bi-topological space (NBTS). In this paper, the relationships among these classes like neutrosophic (1,2)-continuous/ open/ strongly open/ generality open/ maps are discussed. Moreover, our work in this paper is examined and some examples are shown to support this research.

The Finite Simple Groups

The Finite Simple Groups PDF Author: Robert Wilson
Publisher: Springer Science & Business Media
ISBN: 1848009879
Category : Mathematics
Languages : en
Pages : 310

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Book Description
Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].

A Course on Finite Groups

A Course on Finite Groups PDF Author: H.E. Rose
Publisher: Springer Science & Business Media
ISBN: 1848828896
Category : Mathematics
Languages : en
Pages : 314

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Book Description
Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects. Provides a wealth of exercises and problems to support self-study. Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.

Codes and Automata

Codes and Automata PDF Author: Jean Berstel
Publisher: Cambridge University Press
ISBN: 052188831X
Category : Computers
Languages : en
Pages : 634

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Book Description
This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between codes and automata, and new material from the field of symbolic dynamics. The authors have also explored links with more practical applications, including data compression and cryptography. The treatment remains self-contained: there is background material on discrete mathematics, algebra and theoretical computer science. The wealth of exercises and examples make it ideal for self-study or courses. In summary, this is a comprehensive reference on the theory of variable-length codes and their relation to automata.