INVARIANT RINGS OF FINITE GROUPS OF SMALL ORDER ON THE POLYNOMIAL RING IN TWO VARIABLES
- 주제(키워드) INVARIANT RINGS , POLYNOMIAL RING IN TWO VARIABLES
- 발행기관 서강대학교 일반대학원
- 지도교수 이용남
- 발행년도 2012
- 학위수여년월 2012. 8
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000047628
- 본문언어 한국어
- 저작권 서강대학교 논문은 저작권 보호를 받습니다.
초록/요약
Invariant theory of finite groups is a classical subject of mathematics, which is an important branch of commutative algebra. Classically, the invariant theory have dealt with the question of explicit description of polynomials which do not change under some group actions. In this thesis, by using several theoretical results based on Stanley’s paper, we compute the invariant ring of particular finite groups on the polynomial ring with two variables. Technical methods of calculating the invariant rings are mainly due to those of Sturmfels’ book.
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