On a p-Local Geometry Associated with a Complex of Non-Trivial p-Subgroups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On a p-Local Geometry Associated with a Complex of Non-Trivial p-Subgroups

Authors:	Sawabe Masato

Affiliation:	Department of Mathematics, Naruto University of Education Naruto Tokushima, 772-8502, Japan; sawabe{at}naruto-u.ac.jp

Abstract:	Let D be a complex of non-trivial p-subgroups of a finite groupG, closed under G-conjugation. In this paper, a p-local geometry ${delta}$ ^p(G; D) is introduced for G associated with the complex D. Thehomotopy equivalence between ${delta}$ ^p(G; D) and D is also studied.2000 Mathematics Subject Classification 20E15, 51E24.

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