The Jacobson radical of edomorphism rings of totally projective groups of finite type.
The Johnson homomorphism and the second cohomology of .
The Lattice automorphisms of simple algebraic groups over F2.
The lattice of solid -subgroups of a retractable group
The local finiteness of some groups generated by a conjugacy class of order 3 elements.
The Lower Central Series of a Join of Subnormal Subgroups.
The lower central series of the free partially commutative group.
The lower garland of subgroup lattices in linear groups.
The Mac Lane method of construction and classification of extensions of cyclic groups by their automorphism groups.
The maximum order of finite groups of outer automorphisms of free groups.
The monoid of semisimple multiclasses of the group .
The nilpotency of some groups with all subgroups subnormal.
Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.
The number of conjugacy classes of elements of the Cremona group of some given finite order
This note presents the study of the conjugacy classes of elements of some given finite order in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if is even, or , and that it is equal to (respectively ) if (respectively if ) and to for all remaining odd orders. Some precise representative elements of the classes are given.
The Number of Stem Covers of an Elementary Abelian p-Group.
The Obstruction theory of Group Extensions and H^3(Q, A) in Abstract Categories
The p-adic Topology on a Free Group: A Counterexample.
The periodic groups saturated by finitely many finite simple groups.
The p-period of an infinite group.
For Γ a group of finite virtual cohomological dimension and a prime p, the p-period of Γ is defined to be the least positive integer d such that Farrell cohomology groups Hi(Γ; M) and Hi+d(Γ; M) have naturally isomorphic ZΓ modules M.We generalize a result of Swan on the p-period of a finite p-periodic group to a p-periodic infinite group, i.e., we prove that the p-period of a p-periodic group Γ of finite vcd is 2LCM(|N(〈x〉) / C(〈x〉)|) if the Γ has a finite quotient whose a p-Sylow subgroup is elementary...
The probability that elements of a rank free group generate a rank subgroup.
The Profinite Completion of Certain Residually-Finite p-Groups.