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This article is cited in 4 scientific papers (total in 4 papers)
The test rank of a soluble product of free Abelian groups
Ch. K. Guptaa, E. I. Timoshenkob†
a University of Manitoba
b Novosibirsk State University of Architecture and Civil Engineering
Abstract:
We consider the variety $\mathbb A^l$ of all soluble groups of derived length at most $l$, $l\ge2$. Suppose that a finitely generated group $G$ is a free product in the variety $\mathbb A^l$
of Abelian torsion-free groups. It is proved that the test rank of $G$ is one less than the number of factors. A test set of elements is written out explicitly.
Bibliography: 27 titles.
† Author to whom correspondence should be addressed
DOI:
https://doi.org/10.4213/sm3852
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English version:
Sbornik: Mathematics, 2008, 199:4, 495–510
Bibliographic databases:
    
UDC:
512.54
MSC: Primary 20F16; Secondary 20E10, 20E36
Received: 14.03.2007
Citation:
Ch. K. Gupta, E. I. Timoshenko, “The test rank of a soluble product of free Abelian groups”, Mat. Sb., 199:4 (2008), 21–36; Sb. Math., 199:4 (2008), 495–510
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Linking options:
http://mi.mathnet.ru/eng/msb3852https://doi.org/10.4213/sm3852 http://mi.mathnet.ru/eng/msb/v199/i4/p21
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Fine B., Gaglione A., Lipschutz S., Spellman D., “On Turner's theorem and first-order theory”, Commun. Algebr., 45:1 (2017), 29–46
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Ozkurt Z., Ekici N., “Abelian Product of Free Abelian and Free Lie Algebras”, Hacet. J. Math. Stat., 47:2 (2018), 331–337
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Oguslu N.S., Ekici N., “The Test Rank of a Solvable Product of Free Abelian Lie Algebras”, J. Algebra. Appl., 18:2 (2019), 1950025
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