On non-orientable Riemann surfaces with 2p or 2p + 2 automorphisms

Bujalance, E.; Gromadzki, Grzegorz; Turbek, Peter

doi:10.2140/pjm.2001.201.267

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Cited by 3 publications

(2 citation statements)

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“…For cyclic groups there are some cases where the order of the group determines the Riemann surface (see [16], [19], [14]). Analogous results are known for Klein surfaces: [4], [7], [8] and [3].…”

Section: Introductionsupporting

confidence: 63%

On Riemann surfaces of genus g with 4g automorphisms

Bujalance

Costa

Izquierdo

2017

Topology and its Applications

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Section: Introductionsupporting

confidence: 63%

On Riemann surfaces of genus g with 4g automorphisms

Bujalance

Costa

Izquierdo

2017

Topology and its Applications

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“…In addition, [9,10]). Hence, the Klein surfaces we are dealing with have topological types 0, 1, or g + 1.…”

Section: Case G Evenmentioning

confidence: 99%

Riemann surfaces with real forms which have maximal cyclic symmetry

2005

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We determine all the Klein surfaces which have a cyclic automorphism group of the maximum possible order, and find their topological types. We also compute their full automorphism groups and show that, except for a finite number of exceptions, they coincide with the full automorphism groups of their Riemann double covers. Explicit algebraic equations of the surfaces and the formulae of their real forms and automorphisms are also given.  2004 Elsevier Inc. All rights reserved.

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