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Bounds in the Theory of Finite Covers

✍ Scribed by David M. Evans; Osama A. Rashwan

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
179 KB
Volume
250
Category
Article
ISSN
0021-8693

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✦ Synopsis

We give an upper bound for the number of conjugacy classes of closed subgroups of the full wreath product FWr W Sym which project onto Sym . Here, is infinite, W is the set of n-tuples of distinct elements from (for some finite n), F is a finite nilpotent group, and the topology on the wreath product is that of pointwise convergence in its imprimitive permutation action. The result addresses a problem which arises in a natural model-theoretic context about classifying certain types of finite covers.  2002 Elsevier Science (USA)

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