AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 379-393
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We show that if $\mathcal S$ is a compact Riemann surface of genus $g=p+1$, where $p$ is prime, with a group of automorphisms $G$ such that $|G|\geq\lambda(g-1)$ for some real number $\lambda>6$, then for all sufficiently large $p$ (depending on $\lambda$), $\mathcal S$ and $G$ lie in one of six infinite sequences of examples. In particular, if $\lambda=8$ then this holds for all $p\geq 17$.
BELOLIPETSKY, MIKHAIL; JONES, GARETH A. AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME. Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 379-393. doi: 10.1017/S0017089505002612
@article{10_1017_S0017089505002612,
author = {BELOLIPETSKY, MIKHAIL and JONES, GARETH A.},
title = {AUTOMORPHISM {GROUPS} {OF} {RIEMANN} {SURFACES} {OF} {GENUS} p+1, {WHERE} p {IS} {PRIME}},
journal = {Glasgow mathematical journal},
pages = {379--393},
year = {2005},
volume = {47},
number = {2},
doi = {10.1017/S0017089505002612},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002612/}
}
TY - JOUR AU - BELOLIPETSKY, MIKHAIL AU - JONES, GARETH A. TI - AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME JO - Glasgow mathematical journal PY - 2005 SP - 379 EP - 393 VL - 47 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002612/ DO - 10.1017/S0017089505002612 ID - 10_1017_S0017089505002612 ER -
%0 Journal Article %A BELOLIPETSKY, MIKHAIL %A JONES, GARETH A. %T AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME %J Glasgow mathematical journal %D 2005 %P 379-393 %V 47 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002612/ %R 10.1017/S0017089505002612 %F 10_1017_S0017089505002612
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