On periodic groups with small orders of elements

We prove that a finite group with the set of element orders equal to {1, 2, 3, 5, 6} is locally finite.     

Recognition of Finite Simple Groups S 4(q) by Their Element Orders

It is proved that among simple groups $S_4(q)$ in the class of finite groups, only the groups $S_4(3^n)$, where $n$ is an odd number greater than unity, are recognizable by a set of their element orders. It is also shown that simple groups $U_3(9)$, ${^3D}_4(2)$, $G_2(4)$, $S_6(3)$, $F_4(2)$, and ${^2E}_6(2)$ are recognizable, but $L_3(3)$ is not.     

Inversion of the 1,4,5-benzotriazocine ring

It was established by dynamic PMR spectroscopy that interconversion of the ring between two equivalent conformations with G ₂₉₈ = 85 kJ/mole exists in a solution of 4-acetyl-8-bromo-6-phenyl-1,2,3,4-tetrahydro-1,4,5-benzotriazocin-2-one.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 4, pp. 552–553, April, 1984.     

Groups of automorphisms of finite regular cubic graphs

Dedicated to the memory of A. I. Mal'tsev.     

About a Group That Acts Freely on an Abelian Group

Siberian Mathematical Journal -     

2-Signalizers of Finite Simple Groups

Maximal 2-signalizers and centralizers of Sylow 2-subgroups in all finite simple groups are described. Also normalizers are computed for Sylow 2-subgroups in the finite simple groups of exceptional Lie type over a field of odd characteristic.     

Finite Groups Close to Frobenius Groups

Siberian Mathematical Journal - We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as...