Minimal rank of abelian group matrices |
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| Authors: | Wai-Kiu Chan Yip-Cheung Chan Man-Keung Siu |
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| Institution: |
a Department of Mathematics, University of Southern California, Los Angeles, CA, USA
b Department of Mathematics, University of Hong Kong, Hong Kong |
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| Abstract: | The minimal rank of abelian group matrices with positive integral entries is determined.The corresponding problem for circulant matrices have been investigated by Ingleton and more recently by Shiu-Ma-Fang. Our work can be viewed as a generalization of their results, since a group matrix becomes circulant when the group is cyclic. |
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| Keywords: | Rank abelian group matrix character Subject Classification: Primary:15A03 15A36 Secondary: 20C05 |
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