A characterization of elementary abelian 3-groups
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2020-03-30 14:32
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ANABANTI, Chimere. A characterization of elementary abelian 3-groups. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 175-180. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848

A characterization of elementary abelian 3-groups

CZU: 511.217+512.5

Pag. 175-180

Anabanti Chimere
 
University of Nigeria Nsukka
 
 
Disponibil în IBN: 9 ianuarie 2020


Rezumat

We give a characterization of elementary abelian 3-groups in terms of their maximal sum-free sets. A corollary to our result is that the number of maximal sum-free sets in an elementary abelian 3-group of nite rank n is 3n - 1.