On an asymptotic evaluation of the cycle index of the symmetric group
โ Scribed by A. Meir; J.W. Moon
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 89 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
We give a short derivation of an extension of a result of Schwenk on the limiting behaviour of the cycle index of the symmetric group when it is evaluated for a given power series at a given point.
๐ SIMILAR VOLUMES
We show that the number of factorizations \_=/ 1 } } } / r of a cycle of length n into a product of cycles of lengths a 1 , ..., a r , with r j=1 (a j &1)=n&1, is equal to n r&1 . This generalizes a well known result of J. Denes, concerning factorizations into a product of transpositions. We investi
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Definition 1.1. A finitely generated group A is said to admit C(p s ) if the following conditions hold for any positive integer q such that 551