Closures of conjugacy classes of matrices are normal
โ Scribed by Hanspeter Kraft; Claudio Procesi
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- English
- Weight
- 842 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A general conjecture is given for an explicit basis of the coordinate ring of the closure of the conjugacy class of a nilpotent matrix. This conjecture is proven when the partition given by the transpose Jordan type of the nilpotent matrix is a hook or has two parts.
Let ฮฝ G denote the number of conjugacy classes of non-normal subgroups of a group G We prove that if G is a finite group and ฮฝ G = 0 then there is a cyclic subgroup C of prime power order contained in the centre of G such that the order of G/C is a product of at most ฮฝ G + 1 primes. We also obtain a