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Strong Sperner property of the subgroup lattice of an Abelianp-group |
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| Authors: | Jun Wang Yi Wang |
| Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, 116024, Dalian, China |
| Abstract: | Letn andk be arbitrary positive integers,p a prime number and L(k n)(p) the subgroup lattice of the Abelianp-group (Z/p k ) n . Then there is a positive integerN(n,k) such that whenp N(n,k),L (k N )(p) has the strong Sperner property. |
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