Any nilpotence degree occurs in mod-<Emphasis Type="Italic">p</Emphasis> cohomology rings of <Emphasis Type="Italic">p</Emphasis>-groups |
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| Authors: | Email author" target="_blank">Pham Anh?MinhEmail author |
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| Institution: | (1) Department of Mathematics, College of Sciences, University of Hue, Dai hoc Khoa hoc, 77 Nguyen Hue Street, Hue, Vietnam |
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| 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 n 0,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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