A FREEDOM THEOREM FOR GROUPS WITH ONE DEFINING RELATION IN THE VARIETIES OF SOLVABLE AND NILPOTENT GROUPS OF GIVEN LENGTHS
From MaRDI portal
Publication:5673620
DOI10.1070/SM1972v018n01ABEH001614zbMath0258.20034MaRDI QIDQ5673620
Publication date: 1973
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/70448
Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10)
Related Items
Primitive and almost primitive elements of Schreier varieties ⋮ An independence theorem for groups with one defining relation in the variety RcU ⋮ On solvable Lie algebras with one defining relation ⋮ Infinite groups ⋮ The Freiheitssatz for Poisson algebras ⋮ Some algorithmic problems for solvable groups ⋮ Free subgroups of finitely presented groups ⋮ Primitive elements of the free groups of the varieties \({\mathfrak AN}_n\) ⋮ A theorem on freedom for groups with one defining relation in the variety of polynilpotent groups ⋮ Polynilpotent Lie algebras given by one defining relation