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On Unit Sum Numbers of Rational Groups

On unit sum numbers of rational groups.
Authors: Goldsmith, Brendan; Meehan, Christopher; Wallutis, S.;

On Unit Sum Numbers of Rational Groups

Abstract

The unit sum numbers of rational groups are investigated: the importance of the prime 2 being an automorphism of the rational group is discussed and other results are achieved by considering the number and distribution of rational primes which are, or are not, automorphisms of the group. Proof is given of the existence of rational groups with unit sum numbers greater than 2 but of finite value .

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Keywords

sums of units, Torsion-free groups, finite rank, 330, 20K30, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, rational groups, \(n\)-sum property, 20K15, endomorphism rings, 510, Mathematics, unit sum

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
hybrid
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