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On the Size of Boolean Combinations of Subgroups of Finite Abelian Groups

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Abstract

The sizes of Boolean combinations of subgroups G i of a finite abelian group depends only on the Boolean expression, the 0-1-sublattice generated by the G i , and the size of minimal subquotients from this sublattice. Moreover, they increase, monotonically, with those sizes.

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References

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Authors and Affiliations

  1. FB Mathematik, Technische Universität Darmstadt, D64289, Darmstadt, Germany

    Christian Herrmann

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  1. Christian Herrmann
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Herrmann, C. On the Size of Boolean Combinations of Subgroups of Finite Abelian Groups. Order 17, 387–390 (2000). https://doi.org/10.1023/A:1006457929450

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  • DOI: https://doi.org/10.1023/A:1006457929450

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