TY - JOUR

T1 - Bounds for the number of automorphisms of a compact non-orientable surface

AU - Conder, Marston

AU - Maclachlan, Colin

AU - Todorovic Vasiljevic, Sanja

AU - Wilson, Steve

PY - 2003/8

Y1 - 2003/8

N2 - The paper shows that for every positive integer p > 2, there exists a compact non-orientable surface of genus p with at least 4p automorphisms if p is odd, or at least 8 (p - 2) automorphisms if p is even, with improvements for odd p ≢ 3 mod 12. Further, these bounds are shown to be sharp (in that no larger group of automorphisms exists with genus p) for infinitely many values of p in each congruence class modulo 12, with the possible (but unlikely) exception of 3 mod 12.

AB - The paper shows that for every positive integer p > 2, there exists a compact non-orientable surface of genus p with at least 4p automorphisms if p is odd, or at least 8 (p - 2) automorphisms if p is even, with improvements for odd p ≢ 3 mod 12. Further, these bounds are shown to be sharp (in that no larger group of automorphisms exists with genus p) for infinitely many values of p in each congruence class modulo 12, with the possible (but unlikely) exception of 3 mod 12.

UR - http://www.scopus.com/inward/record.url?scp=0041860936&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041860936&partnerID=8YFLogxK

U2 - 10.1112/S0024610703004277

DO - 10.1112/S0024610703004277

M3 - Article

AN - SCOPUS:0041860936

VL - 68

SP - 65

EP - 82

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 1

ER -