Finite simple groups with narrow prime spectrum
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 1-12
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We find the nonabelian finite simple groups with order prime divisors not exceeding 1000. More generally, we determine the sets of nonabelian finite simple groups whose maximal order prime divisor is a fixed prime less than 1000. Our results are based on calculations in the computer algebra system GAP.
Keywords:
Finite simple group, group order, prime divisor.
@article{SEMR_2009_6_a0,
author = {A. V. Zavarnitsin},
title = {Finite simple groups with narrow prime spectrum},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {1--12},
year = {2009},
volume = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SEMR_2009_6_a0/}
}
A. V. Zavarnitsin. Finite simple groups with narrow prime spectrum. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 1-12. http://geodesic.mathdoc.fr/item/SEMR_2009_6_a0/
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