A note on factor-splitting Abelian groups of rank two
A note on f-disjunctive languages.
A note on finite group structure influenced by second and third maximal subgroups.
A note on finite groups with few values in a column of the character table
A Note on Fitting Classes.
A note on free abelian groups
A Note on Fuzzy Groups
A Note On Generalization Of Some Undecidability Results In Group Theory
A note on generalized commutative semigroups.
A note on generic subsets of definable groups
We generalize the theory of generic subsets of definably compact definable groups to arbitrary o-minimal structures. This theory is a crucial part of the solution to Pillay's conjecture connecting definably compact definable groups with Lie groups.
A note on Green’s relations in -semigroups
A note on group algebras of -primary abelian groups
Suppose is a prime number and is a commutative ring with unity of characteristic 0 in which is not a unit. Assume that and are -primary abelian groups such that the respective group algebras and are -isomorphic. Under certain restrictions on the ideal structure of , it is shown that and are isomorphic.
A note on groups of infinite rank whose proper subgroups are abelian-by-finite
It is proved that if G is a locally (soluble-by-finite) group of infinite rank in which every proper subgroup of infinite rank contains an abelian subgroup of finite index, then all proper subgroups of G are abelian-by-finite.
A note on groups with few isomorphism classes of subgroups
The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).
A note on groups with hamiltonian quotients
A note on groups with torsion-free abelianization and trivial multiplicator.
A note on -high subgroups of abelian groups
A note on Hacque's cohomology of rings-groups and extensions of rings-groups by groups.
A note on hamiltonian 2-groups
A note on Harish-Chandra induction.