Titlebook: Beauville Surfaces and Groups; Ingrid Bauer,Shelly Garion,Alina Vdovina Conference proceedings 2015 Springer International Publishing Swit

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The Fundamental Group and Torsion Group of Beauville Surfaces,We give a survey on the fundamental group of surfaces isogenous to a higher product. If the surfaces are regular, e.g. if they are Beauville surfaces, the first homology group is a finite group. We present a MAGMA script which calculates the first homology groups of regular surfaces isogenous to a product.

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Regular Algebraic Surfaces, Ramification Structures and Projective Planes,Regular algebraic surfaces isogenous to a higher product of curves can be obtained from finite groups with ramification structures. We find unmixed ramification structures for finite groups constructed as .-quotients of particular infinite groups with special presentation related to finite projective planes.

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A Survey of Beauville ,-Groups,This paper describes recent results as to which .-groups are Beauville, with emphasis on ones of small order (joint with N. Barker and B. Fairbairn) and ones that form inverse systems (joint with N. Barker, N. Peyerimhoff, and A. Vdovina).

AGONY

Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups,We present some group theoretical methods to give bounds on the number of connected components of the moduli space of surfaces of general type, focusing on some families of regular surfaces isogenous to a product of curves.

nocturnal

Isotrivially Fibred Surfaces and Their Numerical Invariants,We give a survey of our previous work on relatively minimal isotrivial fibrations ., where . is a smooth, projective surface and . is a curve. In particular, we consider two inequalities involving the numerical invariants . and . and we illustrate them by means of several examples and counter examples.

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Conference proceedings 2015rkshop ‘Beauville surfaces and groups 2012’, held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces..

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2194-1009 ics of the lectures presented during the workshop ‘Beauville surfaces and groups 2012’, held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces..978-3-319-34425-6978-3-319-13862-6Series ISSN 2194-1009 Series E-ISSN 2194-1017

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马赛克

Beauville Surfaces and Probabilistic Group Theory, Beauville structures of alternating groups, based on results of Liebeck and Shalev, and the third is the case of the group ., in which we give bounds on the probability of generating a Beauville structure. We also discuss other related problems regarding finite simple quotients of hyperbolic triang

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Strongly Real Beauville Groups,emphasising on the one extreme finite simple groups and on the other abelian and nilpotent groups. We will also discuss the case of characteristically simple groups and almost simple groups. . we shall discuss several questions, open problems and conjectures as well as giving several new examples of