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On the Generalized Burnside Ring with Respect to the Young Subgroups of the Symmetric Group

โœ Scribed by Fumihito Oda; Tomoyuki Yoshida

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
69 KB
Volume
236
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We determine the number of blocks of the generalized Burnside ring of the symmetric group S with respect to the Young subgroups of S over a field of n n characteristic p. Let kS be a group algebra of S over a field k of characteristic n n ลฝ . p ) 0 and R R kS the Grothendieck ring of kS over p-local integers. Then, as n ลฝ p. n ลฝ . a corollary of the theorem, we have that

any field of characteristic p. It is well known that the result holds for an arbitrary finite group, but our approach to the result is remarkable.

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