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Minimum Topological Genus Of Compact Bordered Klein Surfaces Admitting A Prime-Power

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1995
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Bujalance, E.
Maclachlan, C.
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Oxford Univ Press United Kingdom
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N. L. Ailing and N. Greenleaf, Foundations of the theory of Klein surfaces . Lecture Notes in Mathematics No 219 (Springer-Verlag, 1971). E. Bujalance, Cyclic groups of automorphisms of compact non-orientable surfaces without boundary. Pacific J. Math. 109 (1983), 279-289. E. Bujalance, J. J. Etayo, j . M. Gamboa and G. Martens, Minimal genus of Klein surfaces admitting an automorphism of given order. Arch. Math. 52 (1989) 191-202. E. Bujalance, J. J. Etayo, J. M. Gamboa and G. Gromadzki, Automorphism Groups of Compact Bordered Klein Surfaces. A combinatorial approach. Lecture Notes in Mathematics No 1439 (Springer-Verlag, 1990). G. Gromadzki, Abelian groups of automorphisms of compact non-orientable Klein surfaces without boundary, Commentationes Math. 28 (1989), 197-217. W. Hall, Automorphisms and coverings of Klein surfaces. Ph.D. Thesis, Southampton University (1977). W. J. Harvey, Cyclic groups of automorphisms of a compact Riemann surface. Quart. J. Math. Oxford (2) 17 (1966), 86-97. A. Hurwitz, Uber algebraische Gebilde mit eindeutigen Transformationen in sich, Math. Ann. 41 (1893), 402-442. R. S. Kulkarni and C. Maclachlan, Cyclic p -groups of symmetries of surfaces. Glasgow Math. J. 33 (1991), 213-221. C. Maclachlan, Abelian groups of automorphisms of compact Riemann surfaces, Proc. London Math. Soc. 15 (1965), 600-712. C. L. May, Automorphisms of compact Klein surfaces with boundary, Pacific J. Math. 59 (1975), 199-210. C. L. May, Cyclic automorphism groups of compact bordered Klein surfaces, Houston J. Math. 3 (1977), 395-405. D. McCullough, Minimal genus of abelian actions on Klein surfaces with boundary, Math. Zeit. 205 (1990), 421-436. A. Wiman, Uber die hyperelliptischen Kurven und diejenigen von Geschlechte p = 3, welche eideutigen Trasformationen in sich zulassen. Bihang Kongl. Svenska Vetenskaps-Akademiens Handlingar (Stockholm, 1895-96).
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