Prime graph components of finite almost simple groups
Let be a finite group and a field of characteristic . In this paper, we obtain several equivalent conditions to determine whether the principal block of a finite -solvable group is -radical, which means that has the property that is semisimple as a -module, where is a Sylow -subgroup of , is the trivial -module, is the induced module, and is the block idempotent of . We also give the complete classification of a finite -solvable group which has not more than three...
We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry.
In this paper we study principal congruence link complements in . It is known that there are only finitely many such link complements, and we make a start on enumerating them using a combination of theoretical methods and computer calculations with MAGMA.
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.