On residually finite groups and their generalizations

• Autorzy: Andrzej Strojnowski
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with the class of groups satisfying the finite embedding (FE) property. This is a generalization of residually finite groups. In [2] it was asked whether there exist FE-groups which are not residually finite. Here we present such examples. To do this, we construct a family of three-generator soluble FE-groups with torsion-free abelian factors. We study necessary and sufficient conditions for groups from this class to be residually finite. This answers the questions asked in [1] and [2].

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 79
• Numer: 1
• Strony: 25-35

Daty

wydano

1999

otrzymano

1998-01-17

poprawiono

1998-05-06

Twórcy

autor

Andrzej Strojnowski

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

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• [11] J. S. Wilson Embedding theorems for residually finite groups, Math. Z. 174 (1980), 149-157.