A simple matrix semigroup which is not completely simple (Q1100291)
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scientific article; zbMATH DE number 4042172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple matrix semigroup which is not completely simple |
scientific article; zbMATH DE number 4042172 |
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A simple matrix semigroup which is not completely simple (English)
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1988
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An example of a simple irreducible subsemigroup of the full linear group \(GL_ 2({\mathbb{Q}})\), which is not a group, is constructed. This solves Problem 9.1 from the survey paper of \textit{I. S. Ponizovskij} [Semigroup Forum 24, 117-148 (1982; Zbl 0491.20053)].
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simple irreducible subsemigroup
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0.7624502778053284
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0.747409999370575
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