کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777725 | 1633048 | 2017 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Partially ordered sets of non-trivial nilpotent Ï-subgroups II
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let G be a finite group, and Ï a set of prime numbers dividing the order of G. Denote by NÏ(G) and LÏ(G) respectively the totality of non-trivial nilpotent Ï-subgroups of G, and that of all subgroups U in NÏ(G) such that OÏZNG(U)â¤U. In this paper, we study homotopy equivalences related to those two posets which are known to have the same homotopy type. As an application, we deal with homology Hn(NÏ(G)) of the associated order complex by making use of Mayer-Vietoris sequences. Furthermore, we provide an algorithm for determining LÏ(GL(n,pe)) where pâÏ. The determination of this is eventually reduced to that of irreducible subgroups of GL(n,pe).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 231, 1 November 2017, Pages 197-218
Journal: Topology and its Applications - Volume 231, 1 November 2017, Pages 197-218
نویسندگان
Nobuo Iiyori, Masato Sawabe,