Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4408-4418 |
| Number of pages | 11 |
| Journal | Communications in Algebra |
| Volume | 41 |
| Publication status | Published - 2013 |
Keywords
- Symmetric groups
- Alternating groups
- polyhedra.
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