Automorphism groups of some Mordell--Weil lattices
Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 477-501
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The automorphism groups $G=\operatorname{Aut}(\Lambda)$ are calculated for the Mordell–Weil lattices connected with globally irreducible representations of the simple groups $S=\operatorname{PSL}(2,p)$ ($p$ a prime, $p\equiv 3$ $(\operatorname{mod}4)$) and $S=\operatorname{PSU}(3,q)$ $(q=p^f>2)$ of degree $p-1$ and $2q(q-1)$, respectively. In particular, it is shown that in the great majority of cases $S$ is the unique nonabelian composition factor of $G$.
@article{IM2_1993_40_3_a1,
author = {Pham Huu Tiep},
title = {Automorphism groups of some {Mordell--Weil} lattices},
journal = {Izvestiya. Mathematics },
pages = {477--501},
publisher = {mathdoc},
volume = {40},
number = {3},
year = {1993},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1993_40_3_a1/}
}
Pham Huu Tiep. Automorphism groups of some Mordell--Weil lattices. Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 477-501. http://geodesic.mathdoc.fr/item/IM2_1993_40_3_a1/