Finite simple groups with narrow prime spectrum

By Andrei V. Zavarnitsine. 2008

141 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/09ea5eec68568bbf0aafdc6e8a7ae9de37d5840f