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The algorithms that recognize Milnor laws and properties of these laws
Репозиторій DSpace/Manakin
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The algorithms that recognize Milnor laws and properties of these laws
Інший ID:
2010 MSC:20E10, 20F16.
Посилання:
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.
Підтримка:
The author wishes to thank Olga Macedońska for many helpful remarks and valuable suggestions. The author also thanks Janusz Słupikfor reviewing and improving the computer program which is the implementation of algorithms.
Дата:
2014
Переглядів:
456
Завантажень:
135
Анотація:
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.
