Generalized Dieudonné and Honda criteria for primary Abelian groups.
Danchev, P.V. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Danchev, P.V. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Duncan, A.J., Kazachkov, I.V., Remeslennikov, V.N. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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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...
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....
Wong, P.C., Wong, K.B. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Mikaelian, Vahagn H. (2004)
Beiträge zur Algebra und Geometrie
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Bardakov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
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Conway, John H., Delgado Friedrichs, Olaf, Huson, Daniel H., Thurston, William P. (2001)
Beiträge zur Algebra und Geometrie
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Danchev, Peter (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Hiroshi Yamazaki, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama (2013)
Formalized Mathematics
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In this paper we formalized some theorems concerning the cyclic groups of prime power order. We formalize that every commutative cyclic group of prime power order is isomorphic to a direct product of family of cyclic groups [1], [18].
J. Alejandro Díaz-Barriga, Francisco González-Acuña, Francisco Marmolejo, Leopoldo Román (2004)
Revista Matemática Complutense
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Given a generating family
Archer, Claude, Cara, Philippe, Krempa, Jan (2005)
Beiträge zur Algebra und Geometrie
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