The Fitting Clas ...*.
The Fitting class generated by the -perfect groups
The five-group theorem
The fixed group of an automorphism of a word hyperbolic group is rational.
The Fixed Point Subvarieties of Unipotent Transformations on Generalized Flag Varieties and the Green Functions. Combinatorial and Cohomological Treatments Centering GLn.
The formation generated by a finite group
The four known biplanes with k=11.
The Frattini Subgroup of Locally Free Groups.
The free algebra in the variety generated by quasi-trivial semigroups
The free commutative automorphic -generated loop of nilpotency class
A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic -generated loop of nilpotency class . It has dimension over the integers.
The free compact lattice generated by a topological semilattice.
The free completely regular semigroup on a set.
The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm
The left distributive law is the law a· (b· c) = (a·b) · (a· c). Left distributive algebras have been classically used in the study of knots and braids, and more recently free left distributive algebras have been studied in connection with large cardinal axioms in set theory. We provide a survey of results on the free left distributive algebra on one generator, A, and a new, simplified proof of the existence of a normal form for terms in A. Topics included are: the confluence of A, the linearity...
The Friendly Giant.
The Frobenius number of geometric sequences.
The full automorphism group of the Kulkarni surface.
The full automorphism group of the Kulkarni surface is explicitly determined. It is employed to give three defining equations of the Kulkarni surface; each equation exhibits a symmetry of the surface as complex conjugation.
The full automorphism groups of hyperelliptic Riemann surfaces.
The function g(h) for which |A(G)|p>=p^h whenever |G|>=p^g(h) , G a finite P-group
The functional equation f(xy) = ff(x) xy ff(y) in a partially ordered monoid.
The Functional Equation. (Short Communication).