References
- Ideals, Varieties, and Algorithms, An Introduction to Computational Algebraic Geometry and Commutative Algebta D. Cox;J. Little;D. O'Shea
- Homographies, Quaternions and Rotations P. Du Val
Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 12 Issue 4
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- Pages.951-973
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- 1997
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
The rings of invariants of finite abelian subgroups of $GL(2,C)$ of order $leq 18$
- Keum, J.H. (Department of Mathematics, Konkuk University) ;
- Choi, N.S. (Department of Mathematics, Konkuk University)
- Published : 1997.10.01
Abstract
We classify up to conjugation all finite abelian subgroups of $GL(2,C)$ of order $\leq 18$ and compute the generators and relations of their rings of invariants. In other words, we classify all 2-dimensional quotient singularities by an abelian group of order $\leq 18$ and compute the generators and relations of their affine coordinate rings.