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, Volume 17, Issue 4, pp 387–390 | Cite as

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

  • Christian Herrmann
Article
  • 22 Downloads

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.

definable subset lattice of subgroups modular lattice 

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References

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    Ziegler, M. (1984) Model theory of modules, Ann. Pure Appl. Logic 26, 149-213.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Christian Herrmann
    • 1
  1. 1.FB MathematikTechnische Universität DarmstadtDarmstadtGermany

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