A. A. Ivanov – författare

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7 produkter

Del 76 - Encyclopedia of Mathematics and its Applications
Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
AvA. A. Ivanov
Häftad, Engelska, 2008
935 kr
Skickas inom 10-15 vardagar
This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics.
Del 76 - Encyclopedia of Mathematics and its Applications
Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
AvA. A. Ivanov
Inbunden, Engelska, 1999
1 898 kr
Skickas inom 10-15 vardagar
This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics.
Del 91 - Encyclopedia of Mathematics and its Applications
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
AvA. A. Ivanov,S. V. Shpectorov
Inbunden, Engelska, 2002
1 938 kr
Skickas inom 10-15 vardagar
This is the second volume in a two-volume set, which provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. The classification is based on the method of group amalgam, the most promising tool in modern finite group theory. Via their systematic treatment of group amalgams, the authors establish a deep and important mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.
Del 176 - Cambridge Tracts in Mathematics
The Monster Group and Majorana Involutions
AvA. A. Ivanov
Inbunden, Engelska, 2009
1 630 kr
Skickas inom 10-15 vardagar
This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions.
Del 214 - Cambridge Tracts in Mathematics
The Mathieu Groups
AvA. A. Ivanov
Inbunden, Engelska, 2018
1 630 kr
Skickas inom 10-15 vardagar
The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.
GROUPS, COMBINATORICS AND GEOMETRY
AvIVANOV A A,A A Ivanovm. fl.
Inbunden, Engelska, 2003
2 806 kr
Skickas inom 5-8 vardagar
Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups.This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications.
MATHEMATICAL MODELLING AND COMPUTER SIMULATION OF BIOMECHANICAL SYSTEMS
AvA V Zinkovsky,V A Sholuham. fl.
Inbunden, Engelska, 1997
1 172 kr
Tillfälligt slut
The book presents a new scientific approach to the problem of biomechanical systems description.This approach is based on development of a universal anthropomorphic model and employment of methodology of imitational dynamic modeling (IDM). The novelty of this approach is that there appears a possibility to operate with a whole class of models, derived from the universal model on the basis of motion separation principle. This is followed by utilization of iterational procedures realizing the method of successive approximations and resulting in description of the real motion with the pre-set accuracy level. By use of the IDM there has been for the first time ascertained certain laws governing human locomotions: presence of so-called controlling and stabilizing interlink moments, wavelike speeding of forces extremums along the kinematic chain, adaptation of control functions for astronauts motion coordination preservation. The book includes new theoretical conceptions explaining the deterioration of functional state of skeletal-muscular apparatus of astronauts due to zero-gravity influence.

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A. A. Ivanov – författare

Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries

Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

The Monster Group and Majorana Involutions

The Mathieu Groups

GROUPS, COMBINATORICS AND GEOMETRY

MATHEMATICAL MODELLING AND COMPUTER SIMULATION OF BIOMECHANICAL SYSTEMS

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