REVERSIBLE MAPS IN ISOMETRY GROUPS OF SPHERICAL, EUCLIDEAN AND HYPERBOLIC SPACE

DOI10.3318/PRIA.2008.108.1.33zbMath1177.20058OpenAlexW2042309845MaRDI QIDQ3626332

Ian Short

Publication date: 22 May 2009

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3318/pria.2008.108.1.33

zbMATH Keywords

isometry groupsproducts of involutionsproducts of reflectionsreal elementsstrongly real elementsbireflectionalityreversible elementsstrongly reversible elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (5)

Reversible quaternionic hyperbolic isometries ⋮ Reversible complex hyperbolic isometries ⋮ Reversibility of affine transformations ⋮ Conjugacy classes in Möbius groups ⋮ Reversibility of Hermitian isometries

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