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Permutation Representations of the Symmetry Groups of Regular Hyperbolic Tessellations
Author(s) -
Mushtaq Qaiser,
Servatius Herman
Publication year - 1993
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-48.1.77
Subject(s) - permutation (music) , mathematics , property (philosophy) , combinatorics , symmetric group , permutation group , group (periodic table) , symmetry (geometry) , pure mathematics , geometry , physics , acoustics , philosophy , epistemology , quantum mechanics
Higman has questioned which discrete hyperbolic groups [ p, q ] have representations onto almost all symmetric and alternating groups. We call this property H and show that, except perhaps for finitely many values of p and q , [ p, q ] has property H .