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This article is cited in 1 scientific paper (total in 1 paper)
Universal theory of a free polynilpotent group
E. I. Timoshenko
Novosibirsk State Technical University
Abstract:
We prove that a free group of rank $\ge2$ in an arbitrary polynilpotent variety
$\mathfrak N_{c_1}\mathfrak N_{c_2}…\mathfrak N_{c_s}$, $s\ge2$, $c_i\ge1$,
$c_s\ge2$, has undecidable universal theory.
Keywords:
universal theory, variety of groups, soluble group, nilpotent group, polynilpotent group.
DOI:
https://doi.org/10.4213/im8272
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English version:
Izvestiya: Mathematics, 2016, 80:3, 623–632
Bibliographic databases:
     
UDC:
512.54.05
MSC: Primary 10F10; Secondary 03B25
Received: 02.07.2014
Revised: 11.01.2015
Citation:
E. I. Timoshenko, “Universal theory of a free polynilpotent group”, Izv. RAN. Ser. Mat., 80:3 (2016), 173–183; Izv. Math., 80:3 (2016), 623–632
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http://mi.mathnet.ru/eng/izv8272https://doi.org/10.4213/im8272 http://mi.mathnet.ru/eng/izv/v80/i3/p173
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This publication is cited in the following articles:
-
E. I. Timoshenko, “Theories of relatively free solvable groups with extra predicate”, Algebra and Logic, 57:4 (2018), 295–308
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