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On pairs of commuting involutions in Sym(n) and Alt(n)
Tijdschriftbijdrage - Tijdschriftartikel
The number of pairs of commuting involutions in Sym(n) and
Alt(n) is determined up to isomorphism. It is also proven that, up to isomorphism
and duality, there are exactly two abstract regular polyhedra on which
the group Sym(6) acts as a regular automorphism group.
Alt(n) is determined up to isomorphism. It is also proven that, up to isomorphism
and duality, there are exactly two abstract regular polyhedra on which
the group Sym(6) acts as a regular automorphism group.
Tijdschrift: Communications in Algebra
ISSN: 0092-7872
Volume: 41
Pagina's: 4408-4418
Jaar van publicatie:2013
Trefwoorden:Symmetric groups, Alternating groups, polyhedra.