On Göbel's bound for invariants of permutation groups
✍ Scribed by Victor Reiner
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 341 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0003-889X
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📜 SIMILAR VOLUMES
This note presents a detailed analysis and a constructive combinatorial description of SAGBI bases for the R-algebra of G-invariant polynomials. Our main result is a ground ring independent characterization of all rings of polynomial invariants of permutation groups G having a finite SAGBI basis.
A permutation group G is said to be a group of finite type {k}, k a positive integer, if each nonidentity element of G has exactly k fixed points. We show that a group G can be faithfully represented as an irredundant permutation group of finite type if and only if G has a non-trivial normal partiti