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Generalized nilpotency in uncountable groups

Autor: Maria Ferrara, Marco Trombetti

Publikováno v: Forum Mathematicum. 34:669-683

The main purpose of this paper is to investigate the behaviour of uncountable groups of cardinality 𝔪 {\mathfrak{m}} whose proper subgroups of cardinality 𝔪 {\mathfrak{m}} are (bounded) Engel groups. It is proved that such groups are (bounded)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f1386967a9eb517a5dbcb2d67070680
https://doi.org/10.1515/forum-2021-0137

On Locally Graded Minimal Non-(finite-by-hypercentral) Groups.

Autor: Azra, Souad¹ (AUTHOR), Trabelsi, Nadir² (AUTHOR) ntrabelsi@univ-setif.dz

Publikováno v: Bulletin of the Malaysian Mathematical Sciences Society. Jan2021, Vol. 44 Issue 1, p1-8. 8p.

Про центральнi ряди деяких чернiковських p-груп

Autor: I. В. Шапочка, Д. Ю. Бiлецька

Publikováno v: Науковий вісник Ужгородського університету. Серія: Математика і інформатика, Vol 2, Iss 37, Pp 36-44 (2020)
Науковий вісник Ужгородського університету. Серія «Математика і інформатика»; Том 2 № 37 (2020); 36-44
Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics; Vol. 2 No. 37 (2020); 36-44

In this paper, we study the structure of the central series of the Chernikov \(p\)-group \(G\), which contains the maximum complete Abelian subgroup \(M\) of the index \(p\). It is well known that such a group is a hypercental group. On the other han

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbc8f216e436bd96142d5a6b94854f7f
http://visnyk-math.uzhnu.edu.ua/article/view/216991

On hypercentral groups

Autor: Wehrfritz B.

Publikováno v: Open Mathematics, Vol 5, Iss 3, Pp 596-606 (2007)

Externí odkaz: https://doaj.org/article/b06d8a8bce494bebb82197e8dffe5e40