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On the interrelation between orbits and double cosets (1985)

Hässelbarth, Werner

Springer

Theoretical chemistry accounts 67 (1985), S. 427-437

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ISSN: 1432-2234

Keywords: Enumeration under group action ; orbits ; double cosets ; permutational isomerism

Source: Springer Online Journal Archives 1860-2000

Topics: Chemistry and Pharmacology

Notes: Abstract Orbits and double cosets are intimately related: double cosets can always be looked upon as being orbits and often orbits can be identified with double cosets, in reverse. This note presents two such situations where orbits can be traced back to double cosets: the restriction of transitive permutation representations to subgroups and the cartesian product of two transitive permutation representations. These results readily apply to standard topics in chemical combinatorics dealing with isomers and isomerizations but equally like to less familiar combinatorial schemes such as Redfield's.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00528138

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