Characterization of group radicals with an application to Mal'cev products.

zbMath1250.20046MaRDI QIDQ716398

Benjamin Steinberg, Jorge Almeida, Stuart W. Margolis, Mikhail V. Volkov

Publication date: 28 April 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1299679746

zbMATH Keywords

bases of pseudoidentitiesfinite semigroupssemigroup pseudovarietiesMal'cev productsFitting pseudovarietiesgroup pseudovarietiesgroup radicals

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Varieties and pseudovarieties of semigroups (20M07) Special subgroups (Frattini, Fitting, etc.) (20D25) Quasivarieties and varieties of groups (20E10) Radical theory for semigroups (20M11)

Related Items

Reducibility vs. definability for pseudovarieties of semigroups, Representation theory of finite semigroups, semigroup radicals and formal language theory