Random equations in free groups

DOI10.1515/gcc.2011.010zbMath1278.20088OpenAlexW1998474638MaRDI QIDQ2884689

Robert H. Gilman, Alexei G. Myasnikov, Vitaliĭ Roman'kov

Publication date: 18 May 2012

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gcc.2011.010

zbMATH Keywords

free groupsasymptotic densitiesendomorphism problemautomorphic orbitsfree Abelian groupsrandom equationssubsets of intermediate density

Mathematics Subject Classification ID

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)

Related Items (4)

On the asymptotics of visible elements and homogeneous equations in surface groups. ⋮ Random systems of equations in free abelian groups. ⋮ Random equations in nilpotent groups. ⋮ RANDOM EQUATIONS OVER FREE SEMILATTICES

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