O-2-transitive automorphism groups with abelian stabilizer of a point

1999 ◽  
Vol 65 (2) ◽  
pp. 238-241
Author(s):  
V. M. Tararin
Keyword(s):  
Automorphism Groups ◽  
Transitive Automorphism ◽  
Stabilizer Of A Point

scholarly journals Geometrically rational real conic bundles and very transitive actions

2010 ◽  
Vol 147 (1) ◽  
pp. 161-187 ◽  
Author(s):  
Jérémy Blanc ◽  
Frédéric Mangolte
Keyword(s):  
Automorphism Groups ◽  
Algebraic Surfaces ◽  
Algebraic Models ◽  
Transitive Automorphism ◽  
Real Locus ◽  
Real Algebraic Surfaces ◽  
Conic Bundles ◽  
Transitive Actions ◽  
Insight Into

AbstractIn this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups. We give applications to the classification of real algebraic models of compact surfaces: these applications yield new insight into the geometry of the real locus, proving several surprising facts on this geometry. This geometry can be thought of as a half-way point between the biregular and birational geometries.

On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups

2012 ◽  
Vol 70 (1-2) ◽  
pp. 69-76 ◽  
Author(s):  
Anton Malevich ◽  
Wolfgang Willems
Keyword(s):  
Automorphism Groups ◽  
Dual Codes ◽  
Transitive Automorphism ◽  
Small Fields

Reduction of flag-transitive automorphism groups of 2-(v,k,λ) designs with (r − λ,k)=1

2021 ◽  
Vol 344 (10) ◽  
pp. 112521
Author(s):  
Wanbao Zhang ◽  
Shenglin Zhou
Keyword(s):  
Automorphism Groups ◽  
Transitive Automorphism

scholarly journals Scale and tidy subgroups for Weyl-transitive automorphism groups of buildings

2019 ◽  
Vol 520 ◽  
pp. 460-478
Author(s):  
U. Baumgartner ◽  
J. Parkinson ◽  
J. Ramagge
Keyword(s):  
Automorphism Groups ◽  
Transitive Automorphism

scholarly journals Unsolvable block transitive automorphism groups of 2-(v,k,1)(k=6,7,8,9) designs

2008 ◽  
Vol 308 (23) ◽  
pp. 5632-5644
Author(s):  
Guangguo Han
Keyword(s):  
Automorphism Groups ◽  
Transitive Automorphism

Automorphism groups of trivial strongly minimal structures

2003 ◽  
Vol 68 (2) ◽  
pp. 644-668
Author(s):  
Thomas Blossier
Keyword(s):  
Automorphism Group ◽  
Automorphism Groups ◽  
Profinite Group ◽  
Hnn Extensions ◽  
Minimal Structure ◽  
Groups Of Automorphisms ◽  
Stabilizer Of A Point

AbstractWe study automorphism groups of trivial strongly minimal structures. First we give a characterization of structures of bounded valency through their groups of automorphisms. Then we characterize the triplets of groups which can be realized as the automorphism group of a non algebraic component, the subgroup stabilizer of a point and the subgroup of strong automorphisms in a trivial strongly minimal structure, and also we give a reconstruction result. Finally, using HNN extensions we show that any profinite group can be realized as the stabilizer of a point in a strongly minimal structure of bounded valency.

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