A. Mamontov

activity

20182023

collaborators

Showing 2018Show all

3 papers · 1 filter

math.GR2018

On periodic groups isospectral to $A_{7}$

Andrey Mamontov

The spectrum of a periodic group $G$ is the set $ω (G)$ of its element orders. Consider a group $G$ such that $ω (G) = ω (A_{7})$ . Assume that $G$ has a subgroup $H$ isomorphic to $A_{4}$ ,…

math.GR2018

Minimal 3-generated Majorana algebras

Andrey Mamontov, Alexey Staroletov, Madeleine Whybrow

Majorana theory was introduced by A. A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to…

math.GR2018

On knot groups acting on trees

Fedor Dudkin, Andrey Mamontov

A finitely generated group $G$ acting on a tree with infinite cyclic edge and vertex stabilizers is called a generalized Baumslag--Solitar group ( $GB S$ group). We prove that a 1-kn…

On periodic groups isospectral to A7​

Minimal 3-generated Majorana algebras

On knot groups acting on trees

On periodic groups isospectral to $A_{7}$