Alexander N. Grishkov

Lagrange's theorem for Moufang Loops

We prove that the order of any subloop of a flnite Moufang loop is a factor of the order of the loop, thus obtaining an analog of Lagrange’s theorem for flnite Moufang loops.

Sylow's theorem for Moufang loops

Abstract For finite Moufang loops, we prove an analog of the first Sylow theorem giving a criterion for the existence of a p -Sylow subloop. We also find the maximal order of p -subloops in the Moufang loops that do not possess p -Sylow subloops.

COMMUTATIVE AUTOMORPHIC LOOPS OF ORDER p3

A loop is said to be automorphic if its inner mappings are automorphisms. For a prime

Lie algebras with triality

p

THE AUTOMORPHISMS GROUP OF THE MULTIPLICATIVE CARTAN DECOMPOSITION OF LIE ALGEBRA E8

, denote by

Deformations of current Lie algebras. I. Small algebras in characteristic 2

\mathcal A_p

Abelian-by-Cyclic Moufang Loops

the class of all

Half-isomorphisms of Finite Automorphic Moufang Loops

2

Free Steiner triple systems and their automorphism groups

-generated commutative automorphic loops

Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic

Q