Glasnik matematički, Vol. 42 No. 2, 2007.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.42.2.09
On a characterization of quasicyclic groups
Dabin Zheng
; Faculty of Mathematics and Computer Science, Hu Bei University, Wuhan 430062, Hubei Province, China
Yujie Ma
; KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
Heguo Liu
; Faculty of Mathematics and Computer Science, Hu Bei University, Wuhan 430062, Hubei Province, China
Sažetak
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).
Ključne riječi
Quasicyclic group; hypo-inner Σ group; commutator subgroup; solvable group
Hrčak ID:
17947
URI
Datum izdavanja:
11.12.2007.
Posjeta: 1.675 *