A Classification of Regular p-Groups with Invariants (e, 2, 1) |
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Authors: | Youhu Ji Shaofei Du Lingling Zhang |
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Institution: | (1) Center for Combinatorics, Nankai University, Tianjin, 300071, P.R. China;(2) Department of Mathematics, Capital Normal University, Beijing, 100037, P.R. China;(3) Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, P.R. China |
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Abstract: | The class of the regular p-groups is one of the important classes in p-groups. Not only it has many similar properties as abelian p-groups, but also many of the p-groups belong to this class. In this paper, using the algorithms for determining the isomorphic regular p-groups, we give a complete classification of the regular p-groups with e-invariants (e, 2, 1).Supported by SXYSF 991003. |
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Keywords: | Regular p-groups U-basis e-invariants of a regular p-group |
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