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Finite groups with dense ${\mathcal CD}$-subgroups | ||
| International Journal of Group Theory | ||
| دوره 15، شماره 2، شهریور 2026، صفحه 49-53 اصل مقاله (381.59 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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[1] L. An, J. P. Brennan, H. Qu and E. Wilcox, Chermak–Chermak-Delgado lattice extension theorems, Comm. Algebra, 43 no. 5 (2015) 2201–2213. [11] R. McCulloch, Finite groups with a trivial Chermak-Delgado subgroup, J. Group Theory, 21 no. 3 (2018) 449–461. | ||
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آمار تعداد مشاهده مقاله: 189 تعداد دریافت فایل اصل مقاله: 105 |
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