Universality property of free groupoid extensions of halfgroupoids and its geometrical meaning
We prove that a Fitting class of finite soluble groups is normal if and only if it verifies the condition ) (see n. 2). Unlike the definition of normal Fitting class, this condition is “constructive”.
We prove vanishing results for the unramified stable cohomology of alternating groups.
We prove that if k is a finite field with elements, then the natural map is an isomorphism for 0 ≤ i < d(p-1) and for all n.