Wreath products have arisen in many situations in both group and semigroup theory, often providing examples of unexpected behavior, but also in quite fundamental settings. They occur in many applications in science, particularly in physics and chemistry.
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Meldrum, J.D.P., Wreath products of groups and semigroups.,
By A Customer
This review is from: Wreath Products of Groups and Semigroups (Monographs and Surveys in Pure and Applied Mathematics) (Hardcover)
Wreath products have been used in many areas of group theory as well as of semigroup theory for many years. Nevertheless so far there has been no monograph devoted to this important construction. This is a reason why this book will be interesting for specialists in mentioned fields. The book consists of two parts devoted to wreath products of groups and semigroups respectively. The basic approach here in this parts are permutation groups and transformation semigroups as the constituents of the considered wreath products. Some familiarity with group theory will be important since quite a few concepts are used without explication or definition, especially for some parts of notation this may be inconvenient for some readers. References, far from being complete, are sometimes just mentioned but do not appear anywhere in the text, which the author himself points out.
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Inside This Book
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First Sentence:
We begin our study of wreath products of groups by constructing them and determining some of their basic properties. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
transformation wreath product, complete wreath product, restricted wreath product, permutational wreath products, standard wreath product, ascending derived series, supersoluble groups, systematic subset, countable semigroup, generalized wreath products, one element semigroup, periodic semigroup, regular permutation group, transformation semigroups, two permutation groups, trivial centralizer, completely simple semigroup, imprimitivity blocks, permutation homomorphism, simple semigroups, twisted wreath product, nilpotency class, permutation isomorphic, multiplicative zero, crown product Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hence Ker New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We begin our study of wreath products of groups by constructing them and determining some of their basic properties. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
transformation wreath product, complete wreath product, restricted wreath product, permutational wreath products, standard wreath product, ascending derived series, supersoluble groups, systematic subset, countable semigroup, generalized wreath products, one element semigroup, periodic semigroup, regular permutation group, transformation semigroups, two permutation groups, trivial centralizer, completely simple semigroup, imprimitivity blocks, permutation homomorphism, simple semigroups, twisted wreath product, nilpotency class, permutation isomorphic, multiplicative zero, crown product Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hence Ker New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 2
books:
- Model Theory, Third Edition (Studies in Logic and the Foundations of Mathematics) by C.C. Chang in Back Matter
- Group Theory (Dover Books on Mathematics) by W. R. Scott in Back Matter
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