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Cycles comme produit de deux permutations de classes donnees

Published: 01 January 1982 Publication History

Abstract

Soit dans le groupe symetrique de degre n, deux classes de conjugasion H et K de partitions respectives (m"1,...,m"h) et (n"1,...,n"k), soit @d le plus grand commun diviseur des entiers m"1,...,m"h, n"1,...,n"k, et soit @l = h + k + @e avec @e = -1 ou 1 suivant que (h+k - 1) @d $@__ __r.ou n < (h+k-)@d. Le resultat principal de cet article est le suivant: pour qu'il existe @a @e H et @b @e K teis que @a@bsoit un @i-cycle et tels que le groupe<@a, @b> scit transitif, il faut et il suffit que @i = @l (mod 2) et @l=<@i=

References

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Published In

cover image Discrete Mathematics
Discrete Mathematics  Volume 38, Issue 2-3
January, 1982
189 pages

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 January 1982

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