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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

Puni tekst: engleski, pdf (99 KB) str. 357-362 preuzimanja: 971* citiraj
APA 6th Edition
Zheng, D., Ma, Y. i Liu, H. (2007). On a characterization of quasicyclic groups. Glasnik matematički, 42 (2), 357-362. https://doi.org/10.3336/gm.42.2.09
MLA 8th Edition
Zheng, Dabin, et al. "On a characterization of quasicyclic groups." Glasnik matematički, vol. 42, br. 2, 2007, str. 357-362. https://doi.org/10.3336/gm.42.2.09. Citirano 17.10.2021.
Chicago 17th Edition
Zheng, Dabin, Yujie Ma i Heguo Liu. "On a characterization of quasicyclic groups." Glasnik matematički 42, br. 2 (2007): 357-362. https://doi.org/10.3336/gm.42.2.09
Harvard
Zheng, D., Ma, Y., i Liu, H. (2007). 'On a characterization of quasicyclic groups', Glasnik matematički, 42(2), str. 357-362. https://doi.org/10.3336/gm.42.2.09
Vancouver
Zheng D, Ma Y, Liu H. On a characterization of quasicyclic groups. Glasnik matematički [Internet]. 2007 [pristupljeno 17.10.2021.];42(2):357-362. https://doi.org/10.3336/gm.42.2.09
IEEE
D. Zheng, Y. Ma i H. Liu, "On a characterization of quasicyclic groups", Glasnik matematički, vol.42, br. 2, str. 357-362, 2007. [Online]. https://doi.org/10.3336/gm.42.2.09

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
https://hrcak.srce.hr/17947

Posjeta: 1.216 *