9 citations · 17 across the 4 of their papers we have counts for
5 papers
Minimal supplements in normalizers of maximal tori of
Alexey Galt, Alexey Staroletov
Let be a finite group of Lie type with the Weyl group . For every maximal torus of , we find the minimal order of a supplement to in its algebraic normalize…
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…
On splitting of the normalizer of a maximal torus in
Alexey Galt, Alexey Staroletov
Let be a finite group of Lie type over (adjoint or simply connected) and be the Weyl group of . We describe maximal tori such that has a complement i…
On Shalev's conjecture for type and
Alexey Galt, Amit Kulshrestha, Anupam Singh +1
In the paper we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that if $G\simeq \PSL_n^\varepsilon (q)$, th…
On the splitting of a normalizer of a torus in symplectic groups
A. A. Galt
In this paper we find all symplectic groups and their maximal tori in which normalizer of a torus is split over the torus.