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 1.172. The previou
โฆ LIBER โฆ
On a certain infinite permutation group
โ Scribed by Graham Higman
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 682 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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Let n be an integer greater than 1. A group G is said to be n-permutable whenever for every n-tuple x 1 x n of elements of G there exists a non-identity permutation ฯ of 1 In this paper we prove that an infinite group G is n-permutable if and only if for every n infinite subsets X 1 X n of G there
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