Wreath products of groups and semigroups
著者
書誌事項
Wreath products of groups and semigroups
(Pitman monographs and surveys in pure and applied mathematics, 74)
Longman Group , copublished in the United States with John Wiley & Sons, 1995
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注記
Bibliography: p. [299]-321
Includes index
内容説明・目次
内容説明
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.
目次
- Part 1 Wreath products of groups: construction and basic properties
- centralizers
- conjugacy and direct decomposition
- nilpotency
- automorphisms
- classes of groups
- some special constructions
- generalized wreath products
- twisted wreath products and crown products. Part 2 Wreath products of semigroups: construction and basic properties
- regular semigroups
- generalized wreath products
- the Krohn-Rhodes theorem
- applications and further developments.
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