𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orbit-equivalent infinite permutation groups

✍ Scribed by D. C. Lockett, H. D. Macpherson

Book ID
120668479
Publisher
Springer
Year
2013
Tongue
English
Weight
594 KB
Volume
38
Category
Article
ISSN
0925-9899

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Orbits of Infinite Permutation Groups
Orbits of Infinite Permutation Groups
✍ Macpherson, H. D. πŸ“‚ Article πŸ“… 1985 πŸ› Oxford University Press 🌐 English βš– 915 KB
Orbits onn-tuples for Infinite Permutati
Orbits onn-tuples for Infinite Permutation Groups
✍ Francesca Merola πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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 β‰ˆ 1.172. The previou

A Property Equivalent to n-Permutability
A Property Equivalent to n-Permutability for Infinite Groups
✍ Alireza Abdollahi; Aliakbar Mohammadi Hassanabadi; Bijan Taeri πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 88 KB

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 Οƒ 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