Locally soluble cofinitary groups with few fixed points.
Locally soluble groups with all nontrivial normal subgroups isomorphic.
Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.
Locally soluble-by-finite groups with small deviation for non-subnormal subgroups
A group has subnormal deviation at most if, for every descending chain of non-subnormal subgroups of , for all but finitely many there is no infinite descending chain of non-subnormal subgroups of that contain and are contained in . This property , say, was investigated in a previous paper by the authors, where soluble groups with and locally nilpotent groups with were effectively classified. The present article affirms a conjecture from that article by showing that locally soluble-by-finite...
Locally testable semigroups.
Locally toroidal regular polytopes of rank 4.
Logarithmetics and quasigroup structure
Logarithmic Descriptions of K1' (Zp G) and Classgroups of Symmetric Groups.
Lokale Formationen endlicher Gruppen.
Lokale Subnormalteiler und ihr nilpotentes Residuum.
Longest Weight Vectors and Excellent Filtrations.
Looking for identities on a bicyclic semigroup with computer assistance.
Loop characters
A survey of the basic results of loop characters is given on the lines of the treatment of the author and J.D.H. Smith for characters of quasigroups, including some recent deveploments. One of the successes of the theory has been its suggestive influence on the theory of association schemes, group representations and the theory of the group determinant, and selected results arising are described. A section is devoted to an explanation of how the tool of loop characters has not yet been as startlingly...
Loop cohomology
Loops and quasigroups: Aspects of current work and prospects for the future
This paper gives a brief survey of certain recently developing aspects of the study of loops and quasigroups, focussing on some of the areas that appear to exhibit the best prospects for subsequent research and for applications both inside and outside mathematics.
Loops embedded in generalized Cayley algebras of dimension , .
Loops which are cyclic extensions of their nuclei
Loops whose translations generate the alternating group
L'ordre de Dehornoy sur les tresses
Los retículos de las clases de Schunck normales y de las clases derivadas.
All groups to be considered are finite. The main result of this paper is the following: the normal Schunck classes compose a complete and distributive lattice antiisomorphic to the lattice composed by the Derived classes (s. [5]). It begins with a first section of machinery which establishes that the Derived classes are precisely the classes of groups G such that every simple section of G appartains to a σ-closed class (s. 1.6) of simple groups; therefore the Derived classes are a natural generalization...
Low-dimensional cohomology for categorical groups