تعداد نشریات | 43 |
تعداد شمارهها | 1,386 |
تعداد مقالات | 11,421 |
تعداد مشاهده مقاله | 18,691,491 |
تعداد دریافت فایل اصل مقاله | 8,984,201 |
On some new developments in the theory of subgroup lattices of groups | ||
International Journal of Group Theory | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 خرداد 1401 اصل مقاله (399.32 K) | ||
نوع مقاله: Ischia Group Theory 2020/2021 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2022.132076.1771 | ||
نویسندگان | ||
Maria De Falco؛ Carmela Musella ![]() | ||
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II Napoli, Italy | ||
چکیده | ||
A rather natural way for trying to obtain a lattice-theoretic characterization of a class of groups ${\mathcal X}$ is to replace the concepts appearing in the definition of ${\mathcal X}$ by lattice-theoretic concepts. The first to use this idea were Kontorovi\v{c} and Plotkin who in 1954 introduced the notion of modular chain in a lattice, as translation of a central series of a group, to determine a lattice-theoretic characterization of the class of torsion-free nilpotent groups. The aim of this paper is to present a recent application of this translation method to some generalized nilpotency properties. | ||
کلیدواژهها | ||
modular lattice؛ permodular subgroup؛ permodular chain | ||
آمار تعداد مشاهده مقاله: 75 تعداد دریافت فایل اصل مقاله: 6 |