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Closures of conjugacy classes of matrices are normal

โœ Scribed by Hanspeter Kraft; Claudio Procesi


Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
842 KB
Volume
53
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES


Closures of conjugacy classes in g2
โœ Hanspeter Kraft ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 643 KB
Bases for Coordinate Rings of Conjugacy
โœ Mark Shimozono; Jerzy Weyman ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 357 KB

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.

Groups with a Bounded Number of Conjugac
โœ Roberta La Haye; Akbar Rhemtulla ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

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