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aequationes mathematicae

, Volume 44, Issue 1, pp 48–59 | Cite as

Simulated factorizations II

  • A. D. Sands
Research Papers

Summary

A factorization of a finite abelian group is said to be simulated if it is obtained from a factorization into a direct product of subgroups by changing at mostk elements in each subgroup. The question has been asked as to which values ofk imply that in fact at least one subgroup must be left unaltered. This has been shown to be true fork = 1 but to be false, in general, fork = p − 1, wherep is the least prime dividing the order ofG. In this paper it is shown to be true fork = p − 2.

AMS (1991) subject classification

Primary 20K01 Secondary 52A45 

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References

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Copyright information

© Birkhäuser Verlag 1992

Authors and Affiliations

  • A. D. Sands
    • 1
  1. 1.Department of MathematicsThe UniversityDundeeScotland

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