Generalized Rigid Groups: Definitions, Basic Properties, and Problems Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2018, Volume: 59, Number: 4, Pages: 705-709 Pages count : 5 DOI: 10.1134/S0037446618040122 | ||||
| Tags | divisible group; group axioms; soluble group | ||||
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Abstract:
We find a natural generalization of the concept of rigid group. The generalized rigid groups are also called r-groups. The terms of the corresponding rigid series of every r-group can be characterized by both ∃-formulas and ∀-formulas. We find a recursive system of axioms for the class of r-groups of fixed solubility length. We define divisible r-groups and give an appropriate system of axioms. Several fundamental problems are stated. © 2018, Pleiades Publishing, Ltd.
Cite:
Romanovskii N.S.
Generalized Rigid Groups: Definitions, Basic Properties, and Problems
Siberian Mathematical Journal. 2018. V.59. N4. P.705-709. DOI: 10.1134/S0037446618040122 WOS Scopus OpenAlex
Generalized Rigid Groups: Definitions, Basic Properties, and Problems
Siberian Mathematical Journal. 2018. V.59. N4. P.705-709. DOI: 10.1134/S0037446618040122 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000443717700012 |
| Scopus: | 2-s2.0-85052996130 |
| OpenAlex: | W2891821224 |