A. Mamontov

collaborators

5 papers

math.GR2020

Recognizing $A_{7}$ by its set of element orders

Enrico Jabara, Andrey Mamontov

Let $G$ be a periodic group, the spectrum $ω (G) \subseteq N$ of $G$ is the set of orders of elements in $G$ . In this paper we prove that the alternating group $A_{7}$ is u…

math.RA2020

Double axes and subalgebras of Monster type in Matsuo algebras

Alexey Galt, Vijay Joshi, Andrey Mamontov +2

Axial algebras are a class of commutative non-associative algebras generated by idempotents, called axes, with adjoint action semi-simple and satisfying a prescribed fusion law. Ax…

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…

Recognizing A7​ by its set of element orders

Double axes and subalgebras of Monster type in Matsuo algebras

On periodic groups isospectral to A7​

Minimal 3-generated Majorana algebras

On knot groups acting on trees

Recognizing $A_{7}$ by its set of element orders

On periodic groups isospectral to $A_{7}$