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Chiral polyhedra and finite simple groups
Author(s) -
Leemans Dimitri,
Liebeck Martin W.
Publication year - 2017
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12041
Subject(s) - polyhedron , mathematics , simple (philosophy) , simple group , automorphism , abelian group , classification of finite simple groups , combinatorics , automorphism group , group (periodic table) , pure mathematics , group of lie type , group theory , physics , philosophy , epistemology , quantum mechanics
We prove that every finite non‐abelian simple group acts as the automorphism group of a chiral polyhedron, apart from the groups P S L 2 ( q ) , P S L 3 ( q ) , P S U 3 ( q )and A 7 .