Random equations in nilpotent groups.
DOI10.1016/j.jalgebra.2011.11.007zbMath1283.20074arXiv1105.2234OpenAlexW2963232273MaRDI QIDQ435936
Robert H. Gilman, Vitaliĭ Roman'kov, Alexei G. Myasnikov
Publication date: 13 July 2012
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.2234
free groupsfinitely generated nilpotent groupsasymptotic densitiesfree nilpotent groupsfree Abelian groupsrandom equations
Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Nilpotent groups (20F18) Asymptotic properties of groups (20F69) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Probabilistic methods in group theory (20P05) Algebraic geometry over groups; equations over groups (20F70)
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