Any nilpotence degree occurs in mod-<Emphasis Type="Italic">p</Emphasis> cohomology rings of <Emphasis Type="Italic">p</Emphasis>-groups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

Any nilpotence degree occurs in mod-p cohomology rings of p-groups

Authors:	Pham Anh?Minh author-information" > author-information__contact u-icon-before" > mailto:paminh@dng.vnn.vn" title=" paminh@dng.vnn.vn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematics, College of Sciences, University of Hue, Dai hoc Khoa hoc, 77 Nguyen Hue Street, Hue, Vietnam

Abstract:	Let p be an odd prime number and let n be an arbitrary positive integer. We prove that there exists a p-group whose mod-p cohomology ring has a nilpotent element H²() satisfying ⁿ0,ⁿ⁺^p^–1=0. As a corollary, we exhibit a p-group whose mod-p cohomology ring contains an element of nilpotency degree n+1.Mathematical Subject Classification (2000): 20J06, 20D15, 55R40To Phuong and Nin

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