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Orbits of Infinite Permutation Groups

โœ Scribed by Macpherson, H. D.


Book ID
120101588
Publisher
Oxford University Press
Year
1985
Tongue
English
Weight
915 KB
Volume
s3-51
Category
Article
ISSN
0024-6115

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Orbits onn-tuples for Infinite Permutati
โœ Francesca Merola ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

This paper presents a theorem on the growth rate of the orbit-counting sequences of a primitive oligomorphic group: if G is not a highly homogeneous group, then the growth rate for the sequence counting orbits on n-tuples of distinct elements is bounded below by c n n!, where c โ‰ˆ 1.172. The previou