USING STRONG BRANCHING TO FIND AUTOMORPHISM GROUPS OF n-GONAL SURFACES

Author:

Broughton S. Allen1,Camacho Charles2,Paulhus Jennifer3,Winarski Rebecca R.4,Wootton Aaron5

Affiliation:

1. Department of Mathematics, Rose-Hulman Institute of Technology, 5500 Wabash Avenue Terre Haute, IN 47803 brought@rose-hulman.edu

2. Department of Mathematics, Oregon State University, Kidder Hall 368, Corvallis, OR 97331-4605 camachoc@math.oregonstate.edu

3. Department of Mathematics, Grinnell College, 1115 8th Avenue, Grinnell, IA 50112 paulhus@math.grinnell.edu

4. Department of Mathematics, University of Michigan, 2074 East Hall 530 Church Street, Ann Arbor, MI 48109-1043 rebecca.winarski@gmail.com

5. Department of Mathematics, University of Portland, 5000 N. Willamette Blvd., Portland, OR 97203 wootton@up.edu

Publisher

Research Institute of Science and Technology (RISAT)

Subject

General Medicine

Reference22 articles.

1. [1] Accola, R.D.M. Strongly branched coverings of closed Riemann surfaces. Proc. Amer. Math. Soc. 26 (1970), 315–322.

2. [2] Aschbacher M. On Conjectures of Guralnick and Thompson. J. of Algebra 135 (1990), no. 2, 277–343

3. [3] Birman, J. S. Braids, links, and mapping class groups. Annals of Mathematics Studies, No. 82. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1974.

4. [4] Bosma, W. Cannon, J. and Playoust, C., ‘The Magma algebra system. I. The user language’ J. Symbolic Comput. 24 (1997) 235–265. http://magma.maths.usyd.edu.au

5. [5] Breuer, T. Characters and automorphism groups of compact Riemann surfaces. Cambridge University Press, 2000.

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