Compact groups with probabilistically central monothetic subgroups

DOI10.1007/s11856-022-2462-8arXiv2110.00049OpenAlexW3202147679MaRDI QIDQ6109879

P. V. Shumyatskij, João L. F. Azevedo

Publication date: 31 July 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00049

zbMATH Keywords

Haar measurecompact groupcommutator subgroup\(\epsilon\)-central subgroupprobabilistically central subgroup

Mathematics Subject Classification ID

Compact groups (22C05) Probabilistic methods in group theory (20P05)

Related Items (1)

Compact groups with high commuting probability of monothetic subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonsoluble and non-\(p\)-soluble length of finite groups.
• Average dimension of fixed point spaces with applications.
• On the commutativity degree of compact groups
• Bounding the exponent of a finite group with automorphisms
• On periodic compact groups
• A stronger form of Neumann's BFC-theorem
• On the commuting probability in finite groups.
• Some results on relative commutativity degree.
• Commuting probabilities of finite groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Groups with boundedly finite classes of conjugate elements
• Some properties of connected compact groups
• Two Combinatorial Problems in Group Theory
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• An Essay on BFC Groups
• What is the Probability that Two Group Elements Commute?
• The probability that x and y commute in a compact group
• Groups with boundedly finite conjugacy classes of commutators
• On groups with bounded conjugacy classes
• On the commuting probability for subgroups of a finite group
• BFC-theorems for higher commutator subgroups
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• The exponents of central factor and commutator groups
• Groups Covered By Permutable Subsets
• Derived subgroups of fixed points.
• An upper bound for the nonsolvable length of a finite group in terms of its shortest law

This page was built for publication: Compact groups with probabilistically central monothetic subgroups