Finite Flag-transitive Linear Spaces with Alternating Socle

Anne Delandtsheer ()
Additional contact information
Anne Delandtsheer: Université Libre de Bruxelles, Faculté des Sciences Appliquées, CP 165/11

A chapter in Algebraic Combinatorics and Applications, 2001, pp 79-88 from Springer

Abstract: Abstract This paper is a contribution to the classification of all pairs (S, G) where S is a finite non-trivial linear space and G is a flag-transitive automorphism group of S. We prove that if Alt(n) ⊴ G ≤ Aut Alt(n) with n > 4, then S = PG(3,2) and G ≅ Alt(7) or G ≅ Alt(8) ≅ PSL (4,2).

Keywords: linear space; 2-design; flag-transitivity (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_5

Ordering information: This item can be ordered from
http://www.springer.com/9783642594489

DOI: 10.1007/978-3-642-59448-9_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().