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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…