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math.RA2022
Axial algebras of Monster type for diagrams. I
Andrey Mamontov, Alexey Staroletov
Axial algebras are a class of commutative algebras generated by idempotents, with adjoint action semisimple and satisfying a prescribed fusion law. Axial algebras were introduced b…
math.GR2022
On recognition of direct powers of finite simple linear groups by spectrum
N. Yang, I. B. Gorshkov, A. M. Staroletov +1
The spectrum of a finite group is the set of its element orders. We give an affirmative answer to Problem 20.58(a) from the Kourovka Notebook proving that for every positive intege…