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RESEARCH ARTICLE
Groups whose lattices of normal subgroups are factorial
A. Rajhiab a Mathematics Department, Faculty of Sciences and Humanities in Dawadmi, Shaqra University, 11911, Saudi Arabia
b Quantitative Methods Department, Higher business School, University of Manouba, Manouba 2010, Tunisia
Аннотация:
We prove that the groups $G$ for which the lattice of normal subgroups $\mathcal{N}(G)$ is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.
Ключевые слова:
lattice of normal subgroups, semilattices, idempotent monoids, partial monoids.
Поступила в редакцию: 09.10.2018 Исправленный вариант: 08.12.2020
Образец цитирования:
A. Rajhi, “Groups whose lattices of normal subgroups are factorial”, Algebra Discrete Math., 30:2 (2020), 239–253
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm779 https://www.mathnet.ru/rus/adm/v30/i2/p239
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