Maximally symmetric atoms and \(2 \times 2\) matrix groups (Q1851518)
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scientific article; zbMATH DE number 1851295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximally symmetric atoms and \(2 \times 2\) matrix groups |
scientific article; zbMATH DE number 1851295 |
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Maximally symmetric atoms and \(2 \times 2\) matrix groups (English)
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8 January 2003
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The paper deals with geometric and algebraic properties of atoms [see \textit{A. T. Fomenko}, Adv. Sov. Math. 6, 1-35 (1991; Zbl 0746.58036)]. The author sets out some examples of maximally symmetric atoms connected with the groups \(\text{SL}_\pm (2,\mathbb{Z}_p)\) and \(\text{GL} (2,\mathbb{Z}_p)\), \(p\) prime, using representations of groups having a corepresentation of a special form. Also results of computer experiments with groups of this type are presented.
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second-order matrix groups
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symmetric atoms
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corepresentation
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0.85618824
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0.84901154
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0.8436382
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0.8380034
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