Block-transitive automorphism groups on 2-designs with block size 4

2020 ◽  
Vol 343 (7) ◽  
pp. 111726
Author(s):  
Xiaoqin Zhan ◽  
Tao Zhou ◽  
Shuyi Bai ◽  
Shali Peng ◽  
Lingfang Gan
Keyword(s):  
Automorphism Groups ◽  
Block Size ◽  
Transitive Automorphism

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.

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
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