Line-Transitive Automorphism Groups of Linear Spaces
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Publication:4289519
DOI10.1112/blms/25.4.309zbMath0792.05018OpenAlexW1985670505WikidataQ56988330 ScholiaQ56988330MaRDI QIDQ4289519
Alan R. Camina, Cheryl E. Praeger
Publication date: 24 July 1994
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/25.4.309
automorphism grouplinear spaceflagsnormal subgroup structurepoint orbitsline- transitive automorphism group
Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25)
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Inequalities involving the Delandtsheer--Doyen parameters for finite line-transitive linear spaces ⋮ Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\) ⋮ Finite linear spaces admitting a two-dimensional projective linear group ⋮ Finite linear spaces admitting a projective group \(\text{PSU}(3,q)\) with \(q\) even ⋮ Finite linear spaces admitting a Ree simple group. ⋮ Induced designs and fixed points ⋮ Some properties of graphs constructed from 2-designs ⋮ Line-transitive point-imprimitive linear spaces with number of points being a product of two primes ⋮ Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces. ⋮ Transitive projective planes ⋮ A reduction for block-transitive triple systems ⋮ Classification of line-transitive point-imprimitive linear spaces with line size at most 12 ⋮ Point-primitive linear spaces with number of points being a product of two primes ⋮ Finite line-transitive linear spaces: theory and search strategies
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