Research articles

Elementary proof of a theorem of Blackburn

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  • Department of Mathematics, Shanxi Normal University, Linfen 041004, China;

Published date: 05 Mar 2010

Abstract

For a positive integer n, a finite p-group G is called an Mn-group, if all subgroups of index pn of G are metacyclic, but there is at least one subgroup of index pn−1 that is not. A classical result in p-group theory is the classification of M1-groups by Blackburn. In this paper, we give a slightly shorter and more elementary proof of this result.

Cite this article

Haipeng QU, . Elementary proof of a theorem of Blackburn[J]. Frontiers of Mathematics in China, 2010 , 5(1) : 117 -122 . DOI: 10.1007/s11464-009-0051-3

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