On the probability of satisfying a word in a group

DOI10.1515/JGT.2006.044zbMath1130.20052arXivmath/0504312OpenAlexW2963071007MaRDI QIDQ3413641

Miklós Abért

Publication date: 13 December 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504312

zbMATH Keywords

finite groupssolvable subgroupsone relator groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05) Probabilistic methods in group theory (20P05)

Related Items

The probability distribution of word maps on finite groups, Effective Indices of Subgroups in Baumslag–Pride Groups with Free Quotients, Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics., Unnamed Item, Word problems for finite nilpotent groups, Primitive words, free factors and measure preservation., Alexander varieties and largeness of finitely presented groups, On the girth of random Cayley graphs, Word maps and spectra of random graph lifts, Measure preserving words are primitive, A characterization of finite soluble groups, CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

Cites Work

• Finite groups in which every two elements generate a soluble subgroup
• The probability of generating a finite classical group
• Groups with two More Generators Than Relators
• Residual properties of free groups and probabilistic methods
• Nonsolvable finite groups all of whose local subgroups are solvable