On soluble groups in which centralizers are finitely generated
On soluble groups of automorphisms of nonorientable Klein surfaces
We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q ≥ 2 has at most 24(q-1) elements and that this bound is sharp for infinitely many values of q.
On soluble groups of module automorphisms of finite rank
Let be a commutative ring, an -module and a group of -automorphisms of , usually with some sort of rank restriction on . We study the transfer of hypotheses between and such as Noetherian or having finite composition length. In this we extend recent work of Dixon, Kurdachenko and Otal and of Kurdachenko, Subbotin and Chupordia. For example, suppose is -Noetherian. If has finite rank, then also is -Noetherian. Further, if is -Noetherian and if only certain abelian sections...
On solvability of finite groups with some -supplemented subgroups
A subgroup of a finite group is said to be -supplemented in if there exists a subgroup of such that and is -permutable in . In this paper, we first give an example to show that the conjecture in A. A. Heliel’s paper (2014) has negative solutions. Next, we prove that a finite group is solvable if every subgroup of odd prime order of is -supplemented in , and that is solvable if and only if every Sylow subgroup of odd order of is -supplemented in . These results improve...
On solvable groups of exponent 4.
On Solvable Groups with a Minimal Normal P-Subgroup
On Solving A System Of Balanced Functional Equations Of Quaigroups III
On Solving A System Of Balanced Functional Equations On Quasigroups
On solving a system of balanced functional equations on quasigroups I.
On solving a system of balanced functional equations on quasigroups III.
On Solving A System Of Balanced Functional Equations On Quasigroups II
On some Bruhat decomposition and the structure of the Hecke rings of -adic Chevalley groups
On some center-like subsets of groups.
On some classes of H-semigroups.
On some classes of point algebras
On some classes of regular semigroups.
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