Probabilistically nilpotent groups
From MaRDI portal
Publication:3132786
DOI10.1090/proc/13867zbMath1427.20036arXiv1801.07197OpenAlexW2962818975MaRDI QIDQ3132786
Publication date: 30 January 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.07197
Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26) Probabilistic methods in group theory (20P05)
Related Items (9)
On the commuting probability for subgroups of a finite group ⋮ Probabilistically-like nilpotent groups ⋮ Gaps in probabilities of satisfying some commutator-like identities ⋮ Probabilistically nilpotent groups of class two ⋮ BFC-theorems for higher commutator subgroups ⋮ Words, permutations, and the nonsolvable length of a finite group ⋮ Commuting probabilities of infinite groups ⋮ Probabilistic nilpotence in infinite groups ⋮ Almost PI algebras are PI
Cites Work
- A probabilistic Tits alternative and probabilistic identities
- Fibers of word maps and some applications.
- Profinite groups with many commuting pairs or involutions
- Words, Hausdorff dimension and randomly free groups
- Fibers of automorphic word maps and an application to composition factors
- On the commuting probability in finite groups.
- Identical relations in groups. I
- Limit points in the range of the commuting probability function on finite groups
- Commuting probabilities of finite groups
- Commutator maps, measure preservation, and 𝑇-systems
- On the probability distribution associated to commutator word map in finite groups
- Two Combinatorial Problems in Group Theory
- Several Conjectures on Commutativity in Algebraic Structures
- Finite Groups Containing Many Involutions
- What is the Probability that Two Group Elements Commute?
- Groups satisfying identities with high probability
- Residual properties of free groups and probabilistic methods
- Some Results and Problems in the Theory of Word Maps
This page was built for publication: Probabilistically nilpotent groups
