Displaying similar documents to “Commensurator subgroups of surface groups.”

On Hall subgroups of a finite group

Wenbin Guo, Alexander Skiba (2013)

Open Mathematics

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New criteria of existence and conjugacy of Hall subgroups of finite groups are given.

Dynamics of dianalytic transformations of Klein surfaces

Ilie Barza, Dorin Ghisa (2004)

Mathematica Bohemica

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This paper is an introduction to dynamics of dianalytic self-maps of nonorientable Klein surfaces. The main theorem asserts that dianalytic dynamics on Klein surfaces can be canonically reduced to dynamics of some classes of analytic self-maps on their orientable double covers. A complete list of those maps is given in the case where the respective Klein surfaces are the real projective plane, the pointed real projective plane and the Klein bottle.

Quartic del Pezzo surfaces over function fields of curves

Brendan Hassett, Yuri Tschinkel (2014)

Open Mathematics

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We classify quartic del Pezzo surface fibrations over the projective line via numerical invariants, giving explicit examples for small values of the invariants. For generic such fibrations, we describe explicitly the geometry of spaces of sections to the fibration, and mappings to the intermediate Jacobian of the total space. We exhibit examples where these are birational, which has applications to arithmetic questions, especially over finite fields.