Finite groups with dense ${\mathcal CD}$-subgroups

McCulloch, Ryan; Tarnauceanu, Marius

doi:10.22108/ijgt.2025.144066.1941

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	Finite groups with dense ${\mathcal CD}$-subgroups
International Journal of Group Theory
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 23 فروردین 1404 اصل مقاله (381.26 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2025.144066.1941
نویسندگان
Ryan McCulloch^* ¹؛ Marius Tarnauceanu²
¹Department of Mathematics and Statistics, Binghamton University, Binghamton, USA
²Faculty of Mathematics, “Al. I. Cuza” University, Ia¸si, Romania
چکیده
A group $G$ is said to have dense ${\mathcal CD}$-subgroups if each non-empty open interval of the subgroup lattice $L(G)$ contains a subgroup in the Chermak--Delgado lattice ${\mathcal CD}(G)$. In this note, we study finite groups satisfying this property.
کلیدواژه‌ها
finite group؛ Chermak--Delgado lattice؛ subgroup lattice؛ density

مراجع
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Finite groups with dense ${\mathcal CD}$-subgroups