On the Boffa alternative

• Autorzy: B. Bajorska , O. Macedońska
• Języki publikacji: EN

Abstrakty

EN

Let G* denote a nonprincipal ultrapower of a group G. In 1986 M.~Boffa posed a question equivalent to the following one: if G does not satisfy a positive law, does G* contain a free nonabelian subsemigroup? We give the affirmative answer to this question in the large class of groups containing all residually finite and all soluble groups, in fact, all groups considered in traditional textbooks on group theory.

Kategorie tematyczne

• 20E10: Quasivarieties and varieties of groups
• 20F19: Generalizations of solvable and nilpotent groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 2
• Strony: 257-261

Daty

wydano

2001

Twórcy

autor

B. Bajorska

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

autor

O. Macedońska

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Identyfikatory

DOI

10.4064/cm88-2-7