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References
N.L. Alling and N. Greenleaf, Foundations of the theory of Klein surfaces, Lecture Notes in Math. No. 219, Springer-Verlag (1971).
E. Bujalance, Normal subgroups of NEC groups, Math. Zeit. 173 (1981), 331–341.
______, Proper periods of normal NEC groups with even index, to appear in Revista Hispano-Americana.
______, Automorphism groups of compact Klein surfaces with one boundary component, to appear.
______, Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary, to appear.
W. Hall, Automorphisms and coverings of Klein surfaces, Ph.D. Thesis, Southampton (1978).
A.H.M. Hoare and D. Singerman, The orientability of subgroups of plane groups, to appear.
A. Hurwitz, Über algebraische Gebilde mit eindeutigen transformationen in sich, Math. Ann. 41 (1893), 428–471.
A.M. Macbeath, The clasification of non-Euclidean plane crystallographic groups, Can. J. Math. 19 (1967), 1192–1205.
C.L. May, Large automorphism groups of compact Klein surfaces with boundary-I, Glasgow Math. J. 18 (1977), 1–10.
_____, Cyclic automorphism groups of compact bordered Klein surfaces, Houston J. Math., 3 (1977), 395–405.
_____, Automorphisms of compact Klein surfaces with boundary, Pacific J. Math. 59 (1975), 199–210.
_____, A bound for the number of automorphisms of a compact Klein surface with boundary, Proc. Amer. Math. Soc. 63 (1977), 273–280.
R. Preston, Projective structures and fundamental domains on compact Klein surfaces, Ph.D. Thesis, University of Texas (1975).
D. Singerman, Automorphisms of compact non-orientable Riemann surfaces, Glasgow J. Math. (1971), 50–59.
______, On the structure of non-Euclidean crystallographic groups, Proc. Cam. Phil. Soc. (1974), 223–240.
C.H. Wilkie, On non-euclidean crystallographic groups, Math. Zeit. 91 (1966), 87–102.
H. Zieschang, E. Voght and H.D. Coldewey, Flächen und ebene diskontinuierliche Gruppen, Lecture Notes in Math. No. 122, Springer-Verlag (1970); Surfaces and Planar Discontinuous Groups, Lecture Notes in Math. No. 835, Springer-Verlag (1980).
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Bujalance, E. (1983). NEC groups and Klein surfaces. In: Gallo, D.M., Porter, R.M. (eds) Kleinian Groups and Related Topics. Lecture Notes in Mathematics, vol 971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067068
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DOI: https://doi.org/10.1007/BFb0067068
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