Large automorphism groups of hyperelliptic Klein surfaces

Bujalance, E.; Etayo, J. J.

doi:10.1090/S0002-9939-1988-0947639-7

Large automorphism groups of hyperelliptic Klein surfaces
HTML articles powered by AMS MathViewer

by E. Bujalance and J. J. Etayo

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

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

PDF | Request permission

Abstract:

In this paper we study the groups of automorphisms of all hyperelliptic bordered Klein surfaces of genus $p > 3$ having at least $4(p - 1)$ automorphisms.

References

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

Proper periods of normal NEC subgroups with even index

41

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
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, DOI 10.1093/qmath/36.2.141
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, DOI 10.1307/mmj/1029003290
E. Bujalance and J. M. Gamboa, Automorphism groups of algebraic curves of $\textbf {R}^{n}$ of genus $2$, Arch. Math. (Basel) 42 (1984), no. 3, 229–237. MR 751500, DOI 10.1007/BF01191180

Normal subgroups of even index of an NEC group

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, DOI 10.1017/CBO9780511661884.014
Coy L. May, Automorphisms of compact Klein surfaces with boundary, Pacific J. Math. 59 (1975), no. 1, 199–210. MR 399451
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 435385, DOI 10.1090/S0002-9939-1977-0435385-0
Coy L. May, Cyclic automorphism groups of compact bordered Klein surfaces, Houston J. Math. 3 (1977), no. 3, 395–405. MR 457710