Alexey Staroletov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• The problem of recognition of finite simple groups by element orders is solved2026
• On Recognizability of Linear and Unitary Groups by Spectrum2026
• Elements of finite order in the normalizer of a maximal torus of a semisimple group2026
• Recognition by element orders for simple linear and unitary groups2026
• Solid subalgebras in algebras of Jordan type half2026
• Double axes and subalgebras of Monster type in Matsuo algebras2021 · аннотациясвернуть

  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. Axial algebras were introduced by Hall,…

• On Splitting of the Normalizer of a Maximal Torus in E6(q)2019 · аннотациясвернуть

  Let G be a finite group of Lie type E6 over 𝔽q (adjoint or simply connected) and W be the Weyl group of G. We describe maximal tori T such that T has a complement in its algebraic normalizer N(G, T). It is well known…

• On almost recognizability by spectrum of simple classical groups2017 · аннотациясвернуть

  ‎The set of element orders of a finite group G is called the em spectrum‎. ‎Groups with coinciding spectra are said to be em isospectral‎. ‎It is known that if G has a nontrivial normal soluble subgroup then…