Geometrical equivalence of groups

DOI10.1080/00927879908826679zbMath1007.20023OpenAlexW2011855905MaRDI QIDQ4261253

Arkady Tsurkov, Boris I. Plotkin, Eugene Plotkin

Publication date: 2 January 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826679

zbMATH Keywords

congruencesnilpotent groupsfree algebrasvarieties of algebrasprevarieties of algebrasquasivarieties of algebrasgeometrical equivalences

Mathematics Subject Classification ID

Nilpotent groups (20F18) Subalgebras, congruence relations (08A30) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Free algebras (08B20)

Related Items (11)

A computer algebra solution to a problem in finite groups. ⋮ Algebraic and logical geometries of universal algebras (a unified approach) ⋮ On the geometric equivalence of algebras ⋮ ON GEOMETRICALLY EQUIVALENT S-ACTS ⋮ SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY ⋮ Geometrical equivalence and action type geometrical equivalence of group representations ⋮ Radicals and Plotkin’s problem concerning geometrically equivalent groups ⋮ Plotkin's geometric equivalence, Mal'cev's closure, and incompressible nilpotent groups ⋮ Geometric equivalence of 𝜋-torsion-free nilpotent groups ⋮ Seven lectures on universal algebraic geometry ⋮ Algebraic geometry in varieties of algebras with the given algebra of constants

Cites Work

• Unnamed Item
• Parabolic subgroups of Chevalley groups over a commutative ring
• Net subgroups of Chevalley groups. II: Gauss decomposition
• Dynamical systems, topology, and conductivity in normal metals
• Radicals in groups, operations on classes of groups, and radical classes

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