Voir la notice de l'article provenant de la source Cambridge University Press
May, Coy L.; Zimmerman, Jay. Groups of small symmetric genus. Glasgow mathematical journal, Tome 37 (1995) no. 1, pp. 115-129. doi: 10.1017/S0017089500030457
@article{10_1017_S0017089500030457,
author = {May, Coy L. and Zimmerman, Jay},
title = {Groups of small symmetric genus},
journal = {Glasgow mathematical journal},
pages = {115--129},
year = {1995},
volume = {37},
number = {1},
doi = {10.1017/S0017089500030457},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030457/}
}
[1] 1.Brin, M. G. and Squier, C. C., On the genus of Z × Z × Z, European J. Combinatorics 5 (1988), 431–443. Google Scholar | DOI
[2] 2.Brin, M. G., Rauschenberg, D. E. and Squier, C. C., On the genus of the semidirect product of Z, by Z, J. Graph Theory 13 (1989), 49–61. Google Scholar | DOI
[3] 3.Bujalance, E. and Singerman, D., The symmetry type of a Riemann surface, Proc. London Math. Soc. (3) 51 (1985), 501–519. Google Scholar | DOI
[4] 4.Burnside, W., Theory of Groups of Finite Order, (Cambridge University Press, 1911). Google Scholar
[5] 5.Cannon, J. J., An introduction to the group theory language CAYLEY, Computational Group Theory (Atkinson, M., ed.), (Academic Press, 1984), 145–183. Google Scholar
[6] 6.Conder, M. D. E., The symmetric genus of alternating and symmetric groups, J. Combin. Theory Ser. B 39 (1985), 179–186. Google Scholar | DOI
[7] 7.Conder, M. D. E., Hurwitz groups: a brief survey, Bull. Amer. Math. Soc. (N.S.) 23 (1990), 359–370. Google Scholar | DOI
[8] 8.Conder, M. D. E., Wilson, R. A. and Woldar, A. J., The symmetric genus of sporadic groups, Proc. Amer. Math. Soc. 116 (1992), 653–663. Google Scholar | DOI
[9] 9.Corn, D. and Singerman, D., Regular Hypermaps, European J. Combinatorics 9 (1988), 337–351. Google Scholar | DOI
[10] 10.Coxeter, H. S. M. and Moser, W. O. J., Generators and Relations for Discrete Groups, Fourth Edition, (Springer-Verlag, 1957). Google Scholar | DOI
[11] 11.Garbe, D., Uber die regularen Zerlegungen geschlossener orientierbarer Flachen, J. Reine Angew. Math. 237 (1969), 39–55. Google Scholar
[12] 12.Glover, H. and Sjerve, D., The genus of PSL(q), J. Reine Angew. Math. 380 (1987), 59–86. Google Scholar
[13] 13.Gross, J. L. and Tucker, T. W., Topological Graph Theory, (John Wiley and Sons, 1987). Google Scholar
[14] 14.Hurwitz, A., Uber algebraische gebilde mit eindeutigen transformationen in sich, Math. Ann. 41 (1893), 403–442. Google Scholar | DOI
[15] 15.May, C. L., Complex doubles of bordered Klein surfaces with maximal symmetry, Glasgow Math. J. 33 (1991), 61–71. Google Scholar | DOI
[16] 16.May, C. L., A lower bound for the real genus of a finite group, Canad J. Math, (to appear). Google Scholar
[17] 17.May, C. L. and Zimmerman, J., The symmetric genus of finite abelian groups, Illinois J. Math. 37 (1993) 400–423. Google Scholar | DOI
[18] 18.May, C. L. and Zimmerman, J., The symmetric genus of metacyclic groups, (to appear). Google Scholar
[19] 19.Maclachlan, C., Abelian groups of automorphisms of compact Riemann surfaces, Proc. London Math. Soc. 15 (1965), 699–712. Google Scholar | DOI
[20] 20.Pisanski, T. and White, A. T., Nonorientable embeddings of groups, European J. Combinatorics 9 (1988), 445–461. Google Scholar | DOI
[21] 21.Proulx, V. K., Classification of the toroidal groups, J. Graph Theory 2 (1978), 269–273. Google Scholar | DOI
[22] 22.Sherk, F. A., The regular maps on a surface of genus three, Canad. J. Math. 11 (1959), 452–480. Google Scholar | DOI
[23] 23.Singerman, D., On the structure of non-Euclidean crystallographic groups, Proc. Cambridge Philos. Soc. 76 (1974), 233–240. Google Scholar | DOI
[24] 24.Singerman, D., Symmetries of Riemann surfaces with large automorphism group, Math. Ann. 210 (1974), 17–32. Google Scholar | DOI
[25] 25.Tucker, T. W., Finite groups acting on surfaces and the genus of a group, J. Combin. Theory Ser. B 34 (1983), 82–98. Google Scholar | DOI
[26] 26.Tucker, T. W., There is one group of genus two, J. Combin. Theory Ser. B 36 (1984), 269–275. Google Scholar | DOI
[27] 27.White, A. T., Graphs, Groups and Surfaces, Revised Edition, (North-Holland, 1984). Google Scholar
Cité par Sources :