Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Olshanskii, Alexander Yu."'
We construct novel examples of finitely generated groups that exhibit seemingly-contradicting probabilistic behaviors with respect to Burnside laws. We construct a finitely generated group that satisfies a Burnside law, namely a law of the form $x^n=
Externí odkaz:
http://arxiv.org/abs/2409.09630
Publikováno v:
Journal of Algebra and Its Applications, 22:09 (2023), 2350188
We show, in particular, that, if a finite group $H$ is a retract of any finite group containing $H$ as a verbally closed subgroup, then the centre of $H$ is a direct factor of $H$.
Comment: 13 pages. A Russian version of this paper is at http://
Comment: 13 pages. A Russian version of this paper is at http://
Externí odkaz:
http://arxiv.org/abs/2109.12397
Autor:
Olshanskii, Alexander Yu.
An embedding construction $G\hookrightarrow H$ for groups $G$ with a length function was introduced by the author earlier. Here we obtain new properties of this embedding, answering some questions raised by M.V. Sapir. In particular, an analog of Tit
Externí odkaz:
http://arxiv.org/abs/1406.0336
Publikováno v:
Journal of Group Theory, 2013, 16, 5, 695-705
In this note we introduce the class of $\mathcal H$-groups (or Hall groups) related to the class of $\mathcal B$-groups defined by Ph. Hall in 1950's. Establishing some basic properties of Hall groups we use them to obtain results concerning embeddin
Externí odkaz:
http://arxiv.org/abs/1302.2272
We study the relative growth of finitely generated subgroups in finitely generated groups, and the corresponding distortion function of the embeddings. We explore which functions are equivalent to the relative growth functions and distortion function
Externí odkaz:
http://arxiv.org/abs/1212.5208
Publikováno v:
Journal of Algebra & Its Applications; Sep2023, Vol. 22 Issue 9, p1-19, 19p
Publikováno v:
Journal of Algebra and Its Applications.
We show, in particular, that, if a finite group $H$ is a retract of any finite group containing $H$ as a verbally closed subgroup, then the centre of $H$ is a direct factor of $H$.
Comment: 13 pages. A Russian version of this paper is at http://
Comment: 13 pages. A Russian version of this paper is at http://
Publikováno v:
In Topology and its Applications 1 October 2013 160(16):2104-2120
Publikováno v:
In Journal of Pure and Applied Algebra 2011 215(12):2987-3004
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