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The Action of an Infinite Permutation Group on Unordered Subsets of a Set

✍ Scribed by Macpherson, H. D.

Book ID: 120101468
Publisher: Oxford University Press
Year: 1983
Tongue: English
Weight: 383 KB
Volume: s3-46
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s3-46.3.471

No coin nor oath required. For personal study only.

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We show that every group is the full automorphism group of an unordered k-relation for given k 2 2 on some suitable set. We are also concerned with the cardinality of a minimal representation with this property as a function of k.