The virtually generating graph of a profinite group

DOI10.4153/S0008439520000843MaRDI QIDQ5019188

Andrea Lucchini

Publication date: 3 January 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12478

zbMATH Keywords

profinite groupsgroup generationgenerating graph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• The largest size of a minimal generating set of a finite group.
• The non-isolated vertices in the generating graph of a direct powers of simple groups.
• The generating graph of a profinite group
• The independence graph of a finite group
• The diameter of the generating graph of a finite soluble group
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