Characterization of affine surfaces with a torus action by their automorphism groups

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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A characterization of a class of dimensional dual hyperovals with doubly transitive automorphism groups and its applications

European Journal of Combinatorics ◽

10.1016/j.ejc.2008.01.001 ◽

2008 ◽

Vol 29 (7) ◽

pp. 1521-1534 ◽

Cited By ~ 3

Author(s):

Satoshi Yoshiara

Keyword(s):

Automorphism Groups ◽

Transitive Automorphism ◽

Dimensional Dual Hyperovals

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OD-Characterization of Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups

Communications in Algebra ◽

10.1080/00927872.2014.891605 ◽

2015 ◽

Vol 43 (6) ◽

pp. 2308-2334

Author(s):

A. R. Moghaddamfar ◽

S. Rahbariyan

Keyword(s):

Automorphism Groups ◽

Linear Groups ◽

Special Linear ◽

Binary Field ◽

Projective Special Linear Groups ◽

Special Linear Groups

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CHARACTERIZATION OF MODELS IN C2 BY THEIR AUTOMORPHISM GROUPS

International Journal of Mathematics ◽

10.1142/s0129167x94000322 ◽

1994 ◽

Vol 05 (05) ◽

pp. 619-634 ◽

Cited By ~ 28

Author(s):

FRANÇOIS BERTELOOT

Keyword(s):

Finite Type ◽

Automorphism Groups ◽

Holomorphic Automorphisms

Let Ω be a domain in C2. Assume that there exists a point z0 in Ω and a sequence (φp) of holomorphic automorphisms of Ω such that (φp (z0)) is accumulating at some point ζ0 where bΩ is pseudoconvex and finite type. We show that Ω is biholomorphically equivalent to its model at ζ0.

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