On the number of generators and composition length of finite linear groups

DOI10.1006/jabr.2001.8882zbMath0992.20033OpenAlexW1968433054MaRDI QIDQ5949388

Federico Menegazzo, Andrea Lucchini, Marta Morigi

Publication date: 2 June 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8882

zbMATH Keywords

finite subgroupsnumbers of generatorscomposition lengthsfinite linear groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05)

Related Items

Comparing the order and the minimal number of generators of a finite irreducible linear group ⋮ Minimal generation of transitive permutation groups ⋮ Minimal and random generation of permutation and matrix groups. ⋮ Recognizing the prime divisors of the index of a proper subgroup. ⋮ Invariable generation of permutation and linear groups ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ Normalizers of primitive permutation groups ⋮ On the rank of compact \(p\)-adic Lie groups. ⋮ Finite groups with large Chebotarev invariant ⋮ Regular orbits of finite primitive solvable groups, the final classification ⋮ How many elements are needed to generate a finite group with good probability? ⋮ On the composition length of finite primitive linear groups

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• A Bound on the Presentation Rank of a Finite Group
• TRANSITIVE PERMUTATION GROUPS AND IRREDUCIBLE LINEAR GROUPS
• MINIMAL NUMBER OF GENERATORS AND COMPOSITION LENGTH OF SOCLE IN FINITE GROUPS
• Generating Finite Completely Reducible Linear Groups
• The Number of Generators of a Linear p-Group

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