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Glasnik matematički, Vol.42 No.2 December 2007. -

Let G be an infinite solvable group resp. an infinite group properly containing its commutator subgroup G-. We prove that G is isomorphic to a quasicyclic group if and only if all proper normal subgroups of G are finitely generated resp. all proper normal subgroups of G are cyclic or finite.

Quasicyclic group; hypo-inner Σ group; commutator subgroup; solvable group



Autor: Dabin Zheng - ; Faculty of Mathematics and Computer Science, Hu Bei University, Wuhan 430062, Hubei Province, China Yujie Ma - ;

Fuente: http://hrcak.srce.hr/



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