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The geometry of the Hall-Janko group as a quaternionic reflection group

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Publication:1074111
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DOI10.1007/BF00164397zbMath0589.51023MaRDI QIDQ1074111

Robert A. Wilson

Publication date: 1986

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

Leech latticeHall-Janko groupquaternionic reflection group


Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Series and lattices of subgroups (20D30) Reflection groups, reflection geometries (51F15)


Related Items

The \(E_8\) geometry from a Clifford perspective, Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups, A twist in the \(M_{24}\) moonshine story, The geometry of \(H_4\) polytopes, Reflection Groups, Conway's group and octonions, Maximal subgroups of the Coxeter group \(W(H_4)\) and quaternions.



Cites Work

  • Unnamed Item
  • The maximal subgroups of Conway's group \(Co_ 1\)
  • Finite quaternionic reflection groups
  • Quaternions over \(Q(\sqrt5)\), Leech's lattice and the sporadic group of Hall-Janko
  • The quanternionic lattice for \(2G_ 2(\)4) and its maximal subgroups
  • Maximal subgroups of the Hall-Janko-Wales group
  • Finite complex reflection groups
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