-nilpotent groups and a Frattini-like subgroup
M. J. Tomkinson (1992)
Rendiconti del Seminario Matematico della Università di Padova
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M. J. Tomkinson (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Rolf Brandl, Valeria Fedri, Luigi Serena (1996)
Rendiconti del Seminario Matematico della Università di Padova
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John Cossey, Trevor Hawkes (2000)
Rendiconti del Seminario Matematico della Università di Padova
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How, Guan Aun (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Olga Dashkova (2011)
Open Mathematics
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Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Andrea Lucchini (1997)
Rendiconti del Seminario Matematico della Università di Padova
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U. Meierfrankenfeld, B. Stellmacher (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Kurdachenko, Leonid A., Subbotin, Igor Ya. (2001)
International Journal of Mathematics and Mathematical Sciences
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Andrea Lucchini (1990)
Rendiconti del Seminario Matematico della Università di Padova
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O. D. Artemovych (2000)
Publicacions Matemàtiques
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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.