Journal Article The units of a partial Burnside ring relative to the Young subgroups of a symmetric group

ODA, Fumihito  ,  TAKEGAHARA, Yugen  ,  YOSHIDA, Tomoyuki

460pp.370 - 379 , 2016-08-15 , Elsevier
ISSN:0021-86931090-266x
NCID:AA00692420AA11541904
Description
The unit group of a partial Burnside ring relative to the Young subgroups of the symmetric group SnSn on n letters is included in the image by the tom Dieck homomorphism. As a consequence of this fact, the alternating character νnνn of SnSn is expressed explicitly as a ZZ-linear combinations of permutation characters associated with finite left SnSn-sets Sn/YSn/Y for the Young subgroups Y.
Mathematics Subject Classification. Primary 19A22, Secondary 20B35; 20C15; 20C30
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