Asymptotic problems in probability theory : Wiener functionals and asymptotics : proceedings of the Taniguchi International Symposium, Sanda and Kyoto, 1990

Author(s)

• Elworthy, K. D. (K. David)
• 池田, 信行 イケダ, ノブユキ
• Taniguchi International Symposium

Bibliographic Information

Asymptotic problems in probability theory : Wiener functionals and asymptotics : proceedings of the Taniguchi International Symposium, Sanda and Kyoto, 1990

K.D. Elworthy and N. Ikeda (editors)

（Pitman research notes in mathematics series, 284）

Longman Scientific & Technical , Copublished in the U.S. with J. Wiley & Sons, 1993

Note

"Proceedings of the Taniguchi international sympsoium, Sanda and Kyoto, 1990"

"The twenty-sixth Taniguchi International Workshop was held at Sanda in Hyogo prefecture, Japan from August 31 through September 5, 1990 ... was followed by a symposium held in the Research Institute for Mathematical Science at Kyoto University from September 6 through September 8" -- Pref

Includes bibliographical references

Description and Table of Contents

Description

This book provides a thorough account of wreath products of groups and semigroups. Wreath products have arisen in many situations in both group and semigroup theory, often providing examples of unexpected behaviour, but also in quite fundamental settings. They occur equally in many applications in science, in particular in physics and chemistry. In spite of this there has been no dedicated survey of the ideas and methods involved until this book. As well as the two best known fundamental results, the Krasner-Kaloujnine Theorem in group theory and the Krohn-Rhodes Theorem in semigroup theory, the author presents a number of results in a variety of topics covering a wide area, but it has proved impossible to cover all topics in which wreath products have played a role. The material has been chosen to provide both an account of important work and a taste of the various techniques that arise in the theory. Several generalisations and extensions are also presented. The presuppositions are a working knowledge of group and semigroup theory, something a little beyond the core abstract algebra course in a first degree. The material is presented in what most workers in the field would consider the most natural context: that of permutation groups and transformation semigroups. This has entailed in many cases that published material has had to be considerably generalised, so the book contains a substantial amount of original work as well as many improved proofs. Any persons who may find wreath products of use in their work should be able to use this book to ease their job considerably. This is true both for those working in non mathematical areas such as theoretical physics and chemistry, as well as those working in mathematics, in particular algebraists.

Table of Contents

Wreath products of groups Construction and basic properties Centralizers Conjugacy and direct decompositon Nilpotent wreath products Automorphisms of wreath products Classes of groups Generalized wreath products Applications of generalized wreath products Some generalizations and applications Wreath products of semigroups The wreath product of semigroups Regular semigroups The Krohn-Rhodes Theorem Some applications Generalizations Bibliography Index

by "Nielsen BookData"

Details

• NCID: BA20353415
• ISBN:
  • 058222683X
• LCCN: 92045747
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Harlow, Essex, England,New York
• Pages/Volumes: 241 p.
• Size: 25 cm
• Classification:
  • LCC : QA274.2
  • DC20 : 519.2
  • NDC8 : 417.1
• Subject Headings:
  • LCSH : Stochastic analysis -- Congresses
  • LCSH : Asymptotic expansions -- Congresses
• Parent Bibliography ID:
  • BA00276264