Characters and the structure of finite semigroups (Q789536)
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scientific article; zbMATH DE number 3845855
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characters and the structure of finite semigroups |
scientific article; zbMATH DE number 3845855 |
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Characters and the structure of finite semigroups (English)
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1984
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It is shown that properties of the structure of a finite semigroup S such as the order of the set of \({\mathcal J}\)-classes of S and the existence of normal subsemigroups may be deduced from the knowledge of the characters of the irreducible representations of S. The character table of the full transformation semigroup \(T_ 4\) of a four-element set is given.
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finite semigroup
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\({\mathcal J}\)-classes
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normal subsemigroups
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irreducible representations
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character table
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full transformation semigroup
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