Large automorphism groups of hyperelliptic Klein surfaces

Authors:
E. Bujalance and J. J. Etayo

Journal:
Proc. Amer. Math. Soc. **103** (1988), 679-686

MSC:
Primary 20H10; Secondary 14H99, 30F10

MathSciNet review:
947639

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we study the groups of automorphisms of all hyperelliptic bordered Klein surfaces of genus having at least automorphisms.

**[1]**Norman L. Alling and Newcomb Greenleaf,*Foundations of the theory of Klein surfaces*, Lecture Notes in Mathematics, Vol. 219, Springer-Verlag, Berlin-New York, 1971. MR**0333163****[2]**E. Bujalance,*Proper periods of normal NEC subgroups with even index*, Rev. Mat. Hisp.-Amer. (4)**41**(1981), 121-127.**[3]**E. Bujalance and J. J. Etayo,*Hyperelliptic Klein surfaces with maximal symmetry*, Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984), London Math. Soc. Lecture Note Ser., vol. 112, Cambridge Univ. Press, Cambridge, 1986, pp. 289–296. MR**903871****[4]**E. Bujalance, J. J. Etayo, and J. M. Gamboa,*Hyperelliptic Klein surfaces*, Quart. J. Math. Oxford Ser. (2)**36**(1985), no. 142, 141–157. MR**790476**, 10.1093/qmath/36.2.141**[5]**E. Bujalance, J. J. Etayo, and J. M. Gamboa,*Groups of automorphisms of hyperelliptic Klein surfaces of genus three*, Michigan Math. J.**33**(1986), no. 1, 55–74. MR**817909**, 10.1307/mmj/1029003290**[6]**E. Bujalance and J. M. Gamboa,*Automorphism groups of algebraic curves of 𝑅ⁿ of genus 2*, Arch. Math. (Basel)**42**(1984), no. 3, 229–237. MR**751500**, 10.1007/BF01191180**[7]**J. A. Bujalance,*Normal subgroups of even index of an NEC group*, Arch. Math. (to appear).**[8]**A. H. M. Hoare and D. Singerman,*The orientability of subgroups of plane groups*, Groups—St. Andrews 1981 (St. Andrews, 1981) London Math. Soc. Lecture Note Ser., vol. 71, Cambridge Univ. Press, Cambridge, 1982, pp. 221–227. MR**679163**, 10.1017/CBO9780511661884.014**[9]**Coy L. May,*Automorphisms of compact Klein surfaces with boundary*, Pacific J. Math.**59**(1975), no. 1, 199–210. MR**0399451****[10]**Coy L. May,*A bound for the number of automorphisms of a compact Klein surface with boundary*, Proc. Amer. Math. Soc.**63**(1977), no. 2, 273–280. MR**0435385**, 10.1090/S0002-9939-1977-0435385-0**[11]**Coy L. May,*Cyclic automorphism groups of compact bordered Klein surfaces*, Houston J. Math.**3**(1977), no. 3, 395–405. MR**0457710**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
20H10,
14H99,
30F10

Retrieve articles in all journals with MSC: 20H10, 14H99, 30F10

Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1988-0947639-7

Article copyright:
© Copyright 1988
American Mathematical Society