On linearly ordered subgroups of a lattice ordered group
On localizations of torsion abelian groups
As is well known, torsion abelian groups are not preserved by localization functors. However, Libman proved that the cardinality of LT is bounded by whenever T is torsion abelian and L is a localization functor. In this paper we study localizations of torsion abelian groups and investigate new examples. In particular we prove that the structure of LT is determined by the structure of the localization of the primary components of T in many cases. Furthermore, we completely characterize the relationship...
On Locallay Indicable Groups.
On locally finite groups and the centralizers of automorphisms
Sia un primo, e un gruppo abeliano elementare di ordine che agisce sul -gruppo localmente finito . Supponiamo che esista un intero positivo tale che per ogni . In questo articolo si dimostra che è nilpotente, con classe di nilpotenza limitata da una funzione che dipende solo da e .
On locally finite minimal non-solvable groups
In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
On locally graded barely transitive groups
We show that a barely transitive group is totally imprimitive if and only if it is locally graded. Moreover, we obtain the description of a barely transitive group G for the case G has a cyclic subgroup 〈x〉 which intersects non-trivially with all subgroups and for the case a point stabilizer H of G has a subgroup H 1 of finite index in H satisfying the identity χ(H 1) = 1, where χ is a multi-linear commutator of weight w.
On locally graded non-periodic barely transitive groups
On loops that are abelian groups over the nucleus and Buchsteiner loops
We give sufficient and in some cases necessary conditions for the conjugacy closedness of provided the commutativity of . We show that if for some loop , and are abelian groups, then is a CC loop, consequently has nilpotency class at most three. We give additionally some reasonable conditions which imply the nilpotency of the multiplication group of class at most three. We describe the structure of Buchsteiner loops with abelian inner mapping groups.
On loops whose inner permutations commute
Multiplication groups of (finite) loops with commuting inner permutations are investigated. Special attention is paid to the normal closure of the abelian permutation group.
On low-complexity bi-infinite words and their factors
In this paper we study bi-infinite words on two letters. We say that such a word has stiffness if the number of different subwords of length equals for all sufficiently large. The word is called -balanced if the numbers of occurrences of the symbol a in any two subwords of the same length differ by at most . In the present paper we give a complete description of the class of bi-infinite words of stiffness and show that the number of subwords of length from this class has growth order...
On L-Semi-Groups.
On ideals and subgroups of a semigroup
On (m, n)-Regular Semigroups
On (m, n)-regular semigroups.
On -semigroups
On Macbeath-Singerman symmetries of Belyi surfaces with PSL(2,p) as a group of automorphisms
The famous theorem of Belyi states that the compact Riemann surface X can be defined over the number field if and only if X can be uniformized by a finite index subgroup Γ of a Fuchsian triangle group Λ. As a result such surfaces are now called Belyi surfaces. The groups PSL(2,q),q=p n are known to act as the groups of automorphisms on such surfaces. Certain aspects of such actions have been extensively studied in the literature. In this paper, we deal with symmetries. Singerman showed, using acertain...
On Mackey's Imprimitivity Theorem.
On Maps x ... xn and the Isotopy-Isomorphy Property of Moufang Loops (Short Communication)
On Maps x-xn and the Isotopy-Isomorphy Property of Moufang Loops
On maximal compact subsemigroups of the endomorphism semigroup of an n-dimensional complex vector space.