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Linear spaces with flag-transitive automophism groups

✍ Scribed by Francis Buekenhout; Anne Delandtsheer; Jean Doyen; Peter B. Kleidman; Martin W. Liebeck; Jan Saxl

Publisher: Springer
Year: 1990
Tongue: English
Weight: 262 KB
Volume: 36
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181466

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📜 SIMILAR VOLUMES

On Finite Linear Spaces with Almost Simp

On Finite Linear Spaces with Almost Simple Flag-Transitive Automorphism Groups

✍ Jan Saxl 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 280 KB

This paper contains a classification of finite linear spaces with an automorphism group which is an almost simple group of Lie type acting flag-transitively. This completes the proof of the classification of finite flag-transitive linear spaces announced in [BDDKLS].

The Classification of Finite Linear Spac

The Classification of Finite Linear Spaces with Flag-Transitive Automorphism Groups of Affine Type

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Examples 1.1. (Desarguesian affine spaces). Here S is an affine space AG n (q), where n 2 and q n = p d ; we have G 0 1L n (q), and one of the following holds:

The Higman - McLaughlin theorem for flag

The Higman - McLaughlin theorem for flag-transitive linear spaces

✍ Francis Buekenhout 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 373 KB

Finite geometries of typeC3with flag-tra

Finite geometries of typeC3with flag-transitive groups

✍ Michael Aschbacher 📂 Article 📅 1984 🏛 Springer 🌐 English ⚖ 246 KB

Recently there has been renewed interest in a class of geometries introduced by Tits many years ago. Part of this interest stems from Tits' paper [-6] which characterizes buildings as the simply connected geometries with Coxeter diagram in which all residues of type C 3 and H 3 are buildings. Defin

Solvable line-transitive automorphism gr

Solvable line-transitive automorphism groups of finite linear spaces

✍ Weijun Liu; Huiling Li 📂 Article 📅 2000 🏛 SP Science China Press 🌐 English ⚖ 319 KB

Non-commutative spaces with transitive t

Non-commutative spaces with transitive translation groups

✍ Johannes André 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 577 KB

Let G be a finite group. The problem of finding all strongly skewaffine spaces with transitive translation group isomorphic to G will be reduced to the determination of all Schur rings over G.