In this work we present some considerations about cohomology of finite groups. In the first part we use the restriction map in cohomology to obtain some results about subgroups of finite index in a group. In the second ...

Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is ...

Let G be a group. We give some formulas for the first group homology and cohomology of a group G with coefficients in an arbitrary G-module (Z) over tilde. More explicit calculations are done in the special cases of free ...

O objetivo principal deste trabalho é apresentar em detalhes um estudo sobre dois critérios para G-coincidências de aplicações de um espaço particular X em um CW complexo, onde G é um grupo finito. No primeiro critério G ...

O objetivo principal deste trabalho é apresentar em detalhes um estudo sobre dois critérios para G-coincidências de aplicações de um espaço particular X em um CW complexo, onde G é um grupo finito. No primeiro critério G ...

We use a localization theorem and a characterization of the first group of cohomology [H.sup.1](G, B) to give a new proof that the groups of cohomology [H.sup.i] (G, B) of finite cyclic extensions of number fields have ...

The first example of a quantum group was introduced by P. Kulish and N. Reshetikhin. In the paper Kulish et al. (J Soviet Math 23:2435–2441, 1983), they found a new algebra which was later called Uq(sl(2)). Their example ...