On the study of certain finite groups whose invariant rings are complete intersection
- 발행기관 서강대학교 일반대학원
- 지도교수 김종락
- 발행년도 2013
- 학위수여년월 2013. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000049620
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권 보호를 받습니다.
초록/요약
We study certain structural properties of invariant rings of finite groups which are interested in commutative algebra. Gorenstein rings and complete intersection rings are our main concerns. Let V be a m-dimensional C-vector space and G GL(V ) a complex reection group. Let H be a subgroup of G deoned by G \ SL(V ). Stanley shows that the invariant ring Sym(V )H is a complete intersection if [G : H] is a power of a prime p, by using the identication of completely reducible set and C.I. set. We investigate extension of the condition from the classification of complex reection groups by Shephard and Todd.
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