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

• 小田, 文仁

• 竹ケ原, 裕元

• 吉田, 知行

抄録

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

収録刊行物

• Journal of Algebra

  Journal of Algebra 460 370-379, 2016-08-15

  Elsevier

キーワード

• Burnside ring
• Character ring
• Lefschetz invariant
• Symmetric group
• Young subgroup
• tom Dieck homomorphism

詳細情報

• CRID: 1050001201681971200
• NII論文ID: 120005838325
• NII書誌ID: AA00692420
• ISSN: 1090266X
• ISSN: 00218693
• HANDLE: 10258/00008995
• Web Site: https://muroran-it.repo.nii.ac.jp/records/9015
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles