On groups which are not finitely defined in every quasivariety of groups

DOI10.17377/semi.2017.14.079zbMath1380.20030MaRDI QIDQ1685377

Aleksandr Ivanovich Budkin

Publication date: 13 December 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

quasivarietygroupwreath productfinitely defined group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Quasivarieties and varieties of groups (20E10)

Cites Work

• On Q-theories of 2-generated groups with given axiomatic rank
• Quasiidentities and direct wreaths of groups
• Quasivarieties of algebraic systems
• On finitely generated soluble non-Hopfian groups.
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Embedding Theorems for Groups
• QUASIVARIETIES OF GROUPS CLOSED WITH RESPECT TO RESTRICTED WREATH PRODUCTS
• WREATH PRODUCTS AND ULTRAPRODUCTS OF GROUPS
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