On Some Classes Of Unrecognizable Properties Of Groups
On some classes of unrecognizable properties of groups.
On some commutativity theorems for finite rings and finite groups
On some completeness properties for lattice ordered groups
On some elementary properties of soluble groups of derived length 2.
On Some Finite 2-Groups of Deficiency Zero
On some groups with almost regular element of prime order.
On some infinite dimensional linear groups
Let F be a field, A be a vector space over F, and GL(F,A) the group of all automorphisms of the vector space A. A subspace B of A is called nearly G-invariant, if dimF(BFG/B) is finite. A subspace B is called almost G-invariant, if dimF(B/CoreG(B)) is finite. In the present article we begin the study of subgroups G of GL(F,A) such that every subspace of A is either nearly G-invariant or almost G-invariant. More precisely, we consider the case when G is a periodic p′-group where p = charF.
On some interpolation rules for lattice ordered groups
Let be an infinite cardinal. In this paper we define an interpolation rule for lattice ordered groups. We denote by the class of all lattice ordered groups satisfying , and prove that is a radical class.
On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
On some presentations of completely regular semigroups.
On some properties of pronormal subgroups
New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.
On some (pseudo) involutions in the Riordan group.
On some soluble groups in which -subgroups form a lattice
The article is dedicated to groups in which the set of abnormal and normal subgroups (-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.
On some systems of equations with constraints in a free group. – Addenda. (Sur certains systèmes d'équations avec constraintes dans un groupe libre. – Addenda.)
On some systems of equations with constraints in a free group. (Sur certains systèmes d'équations avec contraintes dans un groupe libre.)
On special pieces in the unipotent variety.
On splitting -systems
On strictly sparse subsets of a free group.
On strong uniform dimension of locally finite groups
We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.