The algorithms that recognize Milnor laws and properties of these laws
We consider several equivalent definitions of the so-called Milnor laws (or Milnor identities) that is the laws which are not satisfied in ApA varieties. The purpose of this article is to provide algorithms that allow us to check whether a given identity w(x, y) has one of the following properties:...
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2014
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/153340 |
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| Zitieren: | The algorithms that recognize Milnor laws and properties of these laws / W. Tomaszewski // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 308–332. — Бібліогр.: 38 назв. — англ. |
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irk-123456789-1533402019-06-15T01:27:57Z The algorithms that recognize Milnor laws and properties of these laws Tomaszewski, W. We consider several equivalent definitions of the so-called Milnor laws (or Milnor identities) that is the laws which are not satisfied in ApA varieties. The purpose of this article is to provide algorithms that allow us to check whether a given identity w(x, y) has one of the following properties: w(x, y) is a Milnor law, every nilpotent group satisfying w(x, y) is abelian, every finitely generated metabelian group satisfying w(x, y) is finite-by-abelian. 2014 Article The algorithms that recognize Milnor laws and properties of these laws / W. Tomaszewski // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 308–332. — Бібліогр.: 38 назв. — англ. 1726-3255 2010 MSC:20E10, 20F16. http://dspace.nbuv.gov.ua/handle/123456789/153340 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We consider several equivalent definitions of the so-called Milnor laws (or Milnor identities) that is the laws which are not satisfied in ApA varieties. The purpose of this article is to provide algorithms that allow us to check whether a given identity w(x, y) has one of the following properties: w(x, y) is a Milnor law, every nilpotent group satisfying w(x, y) is abelian, every finitely generated metabelian group satisfying w(x, y) is finite-by-abelian. |
| format |
Article |
| author |
Tomaszewski, W. |
| spellingShingle |
Tomaszewski, W. The algorithms that recognize Milnor laws and properties of these laws Algebra and Discrete Mathematics |
| author_facet |
Tomaszewski, W. |
| author_sort |
Tomaszewski, W. |
| title |
The algorithms that recognize Milnor laws and properties of these laws |
| title_short |
The algorithms that recognize Milnor laws and properties of these laws |
| title_full |
The algorithms that recognize Milnor laws and properties of these laws |
| title_fullStr |
The algorithms that recognize Milnor laws and properties of these laws |
| title_full_unstemmed |
The algorithms that recognize Milnor laws and properties of these laws |
| title_sort |
algorithms that recognize milnor laws and properties of these laws |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153340 |
| citation_txt |
The algorithms that recognize Milnor laws and properties of these laws / W. Tomaszewski // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 308–332. — Бібліогр.: 38 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT tomaszewskiw thealgorithmsthatrecognizemilnorlawsandpropertiesoftheselaws AT tomaszewskiw algorithmsthatrecognizemilnorlawsandpropertiesoftheselaws |
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2025-07-14T04:32:46Z |
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2025-07-14T04:32:46Z |
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1837595431998062592 |