کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778458 1633775 2017 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A broad class of shellable lattices
ترجمه فارسی عنوان
یک طبقه گسترده از شبکه های قابل شستشو
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
Subgroup lattices of solvable groups form another family of comodernistic lattices that were already proven to be shellable. We show not only that subgroup lattices of solvable groups are comodernistic, but that solvability of a group is equivalent to the comodernistic property on its subgroup lattice. Indeed, the definition of comodernistic exactly requires on every interval a lattice-theoretic analogue of the composition series in a solvable group. Thus, the relation between comodernistic lattices and solvable groups resembles, in several respects, that between supersolvable lattices and supersolvable groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 313, 20 June 2017, Pages 537-563
نویسندگان
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