On the prime radical of PI-representable groups.

DOI10.1023/A:1021465207727zbMath1048.20018OpenAlexW111672966MaRDI QIDQ1810247

S. A. Pikhtil'kov

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021465207727

zbMATH Keywords

polynomial identitiesprime radicalslinear groupslocally solvable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Chains and lattices of subgroups, subnormal subgroups (20E15) Representations of groups as automorphism groups of algebraic systems (20F29) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Units, groups of units (associative rings and algebras) (16U60) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (2)

PI-groups and PI-representations of groups. ⋮ Thompson-like characterizations of the solvable radical.

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