-nilpotent groups and a Frattini-like subgroup
M. J. Tomkinson (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Finitary linear images of finitary linear groups.”
-nilpotent groups and a Frattini-like subgroup
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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.
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Rendiconti del Seminario Matematico della Università di Padova
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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.