S. Ivanov

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20022004

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Showing 2002 · math.GRShow all

6 papers · 2 filters

math.GR2002

Embedding free Burnside groups in finitely presented groups

S. V. Ivanov

We construct an embedding of a free Burnside group $B (m, n)$ of odd $n > 2^{48}$ and rank $m > 1$ in a finitely presented group with some special properties. The main application of…

math.GR2002

On the asphericity of LOT-presentations of groups

S. V. Ivanov

Let $U$ be an arbitrary word in letters $x_{1}^{\pm 1}, ..., x_{m}^{\pm 1}$ and $m \geq 2$ . We prove that the group presentation $<x_1, ..., x_m \|\ U x_i U^{-1} = x_{i+1}, i=1,..., m-1…

math.GR2002

On quasivarities of groups and equations over groups

S. V. Ivanov

We prove that the quasivariety of groups generated by finite and locally indicable groups does not contain the class of periodic groups. This result is related to (and inspired by)…

math.GR2002

On subgroups of free Burnside groups of large odd exponent

S. V. Ivanov

We prove that every noncyclic subgroup of a free $m$ -generator Burnside group $B (m, n)$ of odd exponent $n ≫ 1$ contains a subgroup $H$ isomorphic to a free Burnside group $B(\inf…

math.GR2002

On HNN-extensions in the class of groups of large odd exponent

S. V. Ivanov

A sufficient condition for the existence of HNN-extensions in the class of groups of odd exponent $n ≫ 1$ is given in the following form. Let $Q$ be a group of odd exponent $n >…

math.GR2002

Weakly finitely presented infinite periodic groups

S. V. Ivanov

A group $G$ given by a presentation $G =< A ∥ R >$ is called weakly finitely presented if every finitely generated subgroup of $G$ , generated by (images of) som…