The geometry of the Hall-Janko group as a quaternionic reflection group (Q1074111)
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scientific article; zbMATH DE number 3947046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The geometry of the Hall-Janko group as a quaternionic reflection group |
scientific article; zbMATH DE number 3947046 |
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The geometry of the Hall-Janko group as a quaternionic reflection group (English)
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1986
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The author describes how the Hall-Janko group \(J_ 2\), or rather, its double cover \(2J_ 2\), can be identified with the symmetry group of the icosian Leech lattice L. He gives an interesting correspondence between the maximal subgroups of \(2J_ 2\) and certain geometric figures connected to L.
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quaternionic reflection group
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Hall-Janko group
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Leech lattice
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