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Strong Sperner property of the subgroup lattice of an Abelianp-group

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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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Authors and Affiliations

  1. Department of Applied Mathematics, Dalian University of Technology, 116024, Dalian, China

    Jun Wang & Yi Wang

Authors
  1. Jun Wang
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  2. Yi Wang
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Correspondence to Jun Wang.

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Wang, J., Wang, Y. Strong Sperner property of the subgroup lattice of an Abelianp-group. Sci. China Ser. A-Math. 43, 693–702 (2000). https://doi.org/10.1007/BF02878435

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  • DOI: https://doi.org/10.1007/BF02878435

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