𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Local Control of the Number of Conjugacy Classes

✍ Scribed by Geoffrey R. Robinson


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
127 KB
Volume
203
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the Number of Conjugacy Classes of Ο€-
✍ Burkhard KΓΌlshammer; Geoffrey R. Robinson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 136 KB

Let G be a finite group and a set of primes. In this note we will prove Ε½ . two results on the local control of k G, , the number of conjugacy w x classes of -elements in G. Our results will generalize earlier ones in 8 , w x w x 9 , and 3 . Ε½ . Ε½ . In the following, we denote by F F G the poset of

Upper Bounds for the Number of Conjugacy
✍ Martin W. Liebeck; LΓ‘szlΓ³ Pyber πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 315 KB

For a finite group G, let k G denote the number of conjugacy classes of G. We prove that a simple group of Lie type of untwisted rank l over the field of q Ε½ . l elements has at most 6 q conjugacy classes. Using this estimate we show that for Ε½ . Ε½ . 10 n completely reducible subgroups G of GL n, q

Groups with a Bounded Number of Conjugac
✍ Roberta La Haye; Akbar Rhemtulla πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 169 KB

Let Ξ½ 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 Ξ½ 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 Ξ½ G + 1 primes. We also obtain a

The Order of the Conjugacy Classes ofGL(
✍ Eugene Spiegel πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 311 KB

Let n be a positive integer, F a finite field of order q, and GL(n, F) the group of invertible n\_n matrices with entries in F. We will be concerned with the order of the conjugacy classes in GL(n, F). Expressions for these values have been computed by Green (with the aid of an unpublished manuscrip

The Distribution of Descents in Fixed Co
✍ Jason Fulman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 191 KB

The distribution of descents in a fixed conjugacy class of S n is studied and it is shown that its moments have a remarkable property. This is proven two ways: one via generating functions and the other via a combinatorial algorithm. This leads to an asymptotic normality theorem for the number of de