A. Mamontov

activity

20182023

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Showing 2020Show all

2 papers · 1 filter

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…

Recognizing A7​ by its set of element orders

Double axes and subalgebras of Monster type in Matsuo algebras

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