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Parity features for classes of the infinite symmetric group

โœ Scribed by Gadi Moran


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
484 KB
Volume
33
Category
Article
ISSN
0097-3165

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The Structure of Some Permutation Module
โœ Darren G.D. Gray ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 301 KB

Suppose that โ€ is an infinite set and k is a natural number. Let โ€ denote the set of all k-subsets of โ€ and let F be a field. In this paper we study the ลฝ . w x k FSym โ€ -submodule structure of the permutation module F โ€ . Using the representation theory of finite symmetric groups, we show that ever