Extremely primitive groups and linear spaces

Title:

Extremely primitive groups and linear spaces

Creator:

Guan, Haiyan and Zhou, Shenglin

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ad2e7401-7573-4a24-b341-69d17468a7cf
uuid:ad2e7401-7573-4a24-b341-69d17468a7cf
issn:0011-4642

Subject:

matematika, permutace, lineární prostory, mathematics, permutations, linear spaces, automorphism, point-primitive automorphism group, extremely primitive permutation group, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

A non-regular primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its nontrivial orbits. Let S be a nontrivial finite regular linear space and G ≤ Aut(S). Suppose that G is extremely primitive on points and let rank(G) be the rank of G on points. We prove that rank(G) ≥ 4 with few exceptions. Moreover, we show that Soc(G) is neither a sporadic group nor an alternating group, and G = PSL(2, q) with q + 1 a Fermat prime if Soc(G) is a finite classical simple group., Haiyan Guan, Shenglin Zhou., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

445-455

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false