Metabelian Pro-p-Groups with a Single Relation Full article
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Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2020, Volume: 59, Number: 1, Pages: 82-86 Pages count : 5 DOI: 10.1007/s10469-020-09580-1 | ||
| Tags | pro-p-group; variety of metabelian pro-p-groups; variety of nilpotent pro-p-groups | ||
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Abstract:
It is proved that there exist uncountably many nonisomorphic pro-p-groups admitting presentations with two generating elements and one defining relation in the variety of metabelian pro-p-groups. Also we give information on pro-p-groups with a single relation in varieties of nilpotent pro-p-groups. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Cite:
Romanovskii N.S.
Metabelian Pro-p-Groups with a Single Relation
Algebra and Logic. 2020. V.59. N1. P.82-86. DOI: 10.1007/s10469-020-09580-1 WOS Scopus OpenAlex
Metabelian Pro-p-Groups with a Single Relation
Algebra and Logic. 2020. V.59. N1. P.82-86. DOI: 10.1007/s10469-020-09580-1 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000534700100001 |
| Scopus: | 2-s2.0-85085312974 |
| OpenAlex: | W3027767469 |