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We prove that d(G) log |G| = O(n log q) for irreducible subgroups G of GL(n, q), and estimate the associated constants. The result is motivated by attempts to bound… Click to show full abstract
We prove that d(G) log |G| = O(n log q) for irreducible subgroups G of GL(n, q), and estimate the associated constants. The result is motivated by attempts to bound the complexity of computing the automorphism groups of various classes of finite groups.
Keywords:
number generators;
order minimal;
comparing order;
generators finite;
finite irreducible;
minimal number
Journal Title: Journal of Algebra
Year Published: 2022
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Journal Title: Journal of Algebra
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!