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(1980)
Group Tables
G Gromadzki (1989)
Abelian groups of automorphisms of compact non-orientable Klein surfaces without boundaryComment. Math. Prace Mat., 28
M. Conder, P. Dobcsányi (2001)
Determination of all Regular Maps of Small GenusJ. Comb. Theory, Ser. B, 81
TW Tucker (1991)
Graph Theory, Combinatorics and Applications
E. Bujalance, J. Etayo, E. Martínez (2014)
The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5Revista Matemática Complutense, 27
Coy May (2001)
The symmetric crosscap number of a groupGlasgow Mathematical Journal, 43
E Bujalance, JJ Etayo, JM Gamboa, G Gromadzki (1990)
Lecture Notes in Mathematics
E. Bujalance, J. Bujalance, G. Gromadzki, E. Martínez (1989)
The groups of automorphisms of non-orientable hyperelliptic klein surfaces without boundary
M Hall, JK Senior (1964)
The groups of order $$2^n$$ 2 n ( $$n \le 6$$ n ≤ 6 )
E. Bujalance, F. Cirre, M. Conder (2013)
Extensions of finite cyclic group actions on non-orientable surfacesTransactions of the American Mathematical Society, 365
(1991)
Symmetric embeddings of Cayley graphs in non - orientable surfaces . In : Alavy , I . , et al . ( eds . )
E. Bujalance (1983)
Cyclic groups of automorphisms of compact nonorientable Klein surfaces without boundaryPacific Journal of Mathematics, 109
HSM Coxeter (1939)
The abstract groups $$G^{m, n, p}$$ G m , n , pTrans. Am. Math. Soc., 45
N. Alling, N. Greenleaf (1971)
Foundations of the theory of Klein surfaces
Á. Pozo (2007)
Automorphism groups of compact bordered Klein surfaces with invariant subsetsManuscripta Mathematica, 122
(1964)
The groups of order 2n (n ≤ 6)
(1975)
Projective structures and fundamental domains on compact Klein surfaces
D. Singerman (1971)
Automorphisms of compact non-orientable Riemann surfacesGlasgow Mathematical Journal, 12
J. Gordejuela, E. Martínez (2013)
The symmetric crosscap number of the groups of small-orderJournal of Algebra and Its Applications, 12
José Estévez, M. Izquierdo (2006)
Non‐Normal Pairs of Non‐Euclidean Crystallographic GroupsBulletin of the London Mathematical Society, 38
(2016)
Teorema de Cayley
(1939)
The abstract groups Gm,n,p
AM Macbeath (1967)
The classification of non-Euclidean crystallographic groupsCan. J. Math., 19
E. Bujalance, J. Gordejuela, J. Gamboa, G. Gromadzki (1990)
Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach
H. Wilkie (1966)
On non-Euclidean crystallographic groupsMathematische Zeitschrift, 91
(1982)
Normal NEC signatures
An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfaces. In this case the solution of the problem is known for surfaces of genus 1, 2, 3, 4 and 5, and for hyperelliptic surfaces. Here we explicitly obtain the full automorphism group of all surfaces of genus 6.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas – Springer Journals
Published: Mar 4, 2017
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