3 papers
math.RA2024
On axial algebras with eigenvalues
Vsevolod A. Afanasev
We study axial algebras, that is, commutative non-associative algebras generated by idempotents whose adjoint actions are semisimple and obey a fusion law. Considering the case, wh…
math.GR2024
On 3-generated 6-transposition groups
Vsevolod A. Afanasev, Andrey Mamontov
We study -transposition groups, i.e. groups generated by a normal set of involutions , such that the order of the product of any two elements from does not exceed . We…
math.GR2024
Searching for groups related to pseudo-composition algebras
Vsevolod A. Afanasev
We study the class of idempotent-generated pseudo-composition algebras, which is a subclass of the family of axial algebras. More specifically, we utilise the group-algebra corresp…