Remarks on profinite groups having few open subgroups

DOI10.4171/JCA/2-1-4zbMath1491.20073arXiv1304.3893MaRDI QIDQ2413206

Daniel Segal

Publication date: 9 April 2018

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

Full work available at URL: https://arxiv.org/abs/1304.3893

zbMATH Keywords

profinite groupsstrong completeness

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Limits, profinite groups (20E18)

Related Items

On small profinite groups ⋮ Words, permutations, and the nonsolvable length of a finite group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Verbal width in anabelian groups
• Powers in finite groups.
• Generators and commutators in finite groups; abstract quotients of compact groups.
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• On subgroups of finite index in compact Hausdorff groups.
• Subgroup growth.
• Solvability of groups of odd order
• Discontinuous characters and subgroups of finite index
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Varieties and simple groups