Witt-Burnside rings of a saturated fusion system
- 발행기관 서강대학교 일반대학원
- 지도교수 오영탁
- 발행년도 2015
- 학위수여년월 2015. 8
- 학위명 박사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000056208
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권보호를 받습니다.
초록/요약
For a saturated fusion system F on a finite p-group S, two different kinds of Burnside rings Ae(F) and A(F) of F have been constructed. The former was introduced by Diaz and Libman in terms of F-centric subgroups of S, and the latter by Reeh in terms of F-stable S-sets. In this thesis, we construct the F-centric Witt-Burnside ring fWF(Z) of a realized saturated fusion system F over Z and the F-stable Witt-Burnside ring WF(Z) of a saturated fusion system F over Z, which are corresponding to Ae(F) and A(F), respectively. In particular, when F is realized to FS(G) for some finite group G with a Sylow p-subgroup S, we demonstrate the relationship between our Witt-Burnside rings of F over Z and the classical Witt-Burnside ring of G over Z due to Dress and Siebeneicher.
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