On Camina group and its generalizations
A. S. Muktibodh, S. H. Ghate (2013)
Matematički Vesnik
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A. S. Muktibodh, S. H. Ghate (2013)
Matematički Vesnik
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Danchev, P.V. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Andrzej Strojnowski (1999)
Colloquium Mathematicae
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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...
Corredor, Luis Jaime (2003)
Revista Colombiana de Matemáticas
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Mikaelian, Vahagn H. (2004)
Beiträge zur Algebra und Geometrie
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Bartholdi, Laurent, Grigorchuk, Rostislav (2002)
Serdica Mathematical Journal
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* The authors thank the “Swiss National Science Foundation” for its support. We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, show that they are weakly maximal, and that the corresponding quasi-regular representations are irreducible. These (infinite-dimensional) representations are approximated by finite-dimensional quasi-regular representations....
Conway, John H., Delgado Friedrichs, Olaf, Huson, Daniel H., Thurston, William P. (2001)
Beiträge zur Algebra und Geometrie
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Ivko, M.N. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Danchev, Peter V. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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Delizia, Costantino, Moravec, Primož, Nicotera, Chiara (2007)
Beiträge zur Algebra und Geometrie
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Francesco Russo, Nadir Trabelsi (2009)
Annales mathématiques Blaise Pascal
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A group is said to be a -group, if is a polycyclic-by-finite group for all . A minimal non--group is a group which is not a -group but all of whose proper subgroups are -groups. Our main result is that a minimal non--group having a non-trivial finite factor group is a finite cyclic extension of a divisible abelian group of finite rank.
Grechkoseeva, M.A., Lucido, Maria Silvia, Mazurov, V.D., Moghaddamfar, Ali Reza, Vasil'ev, A.V. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Taeri, Bijan (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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