Let G denote the full subcategory of topological abelian groups consisting of the groups that can be embedded algebraically and topologically into a product of locally compact abelian groups. We show that there is a full coreflective subcategory S of G that contains all locally compact groups and is *-autonomous. This means that for all G,H in S there is an “internal hom” G −◦H whose underlying...

Let G and H be two finites -groups, then is the non-abelian tensor product of H. In this paper, compatible action graph for has been considered when finite -groups by determining adjacency matrix studied some its properties.

in this paper we present some results about subgroup which is generalization of the subgroup $r_{2}^{otimes}(g)={ain g|[a,g]otimes g=1_{otimes},forall gin g}$ of right $2_{otimes}$-engel elements of a given group $g$. if $p$ is an odd prime, then with the help of these results, we obtain the results about tensor squares of p-groups satisfying the law $[x,g,y]otimes g=1_{otimes}$, for all $x, g,...

We use the anomaly cancellation of the M-theory fivebrane to derive the R-symmetry anomalies of the AN (0, 2) tensor-multiplet theories. This result leads to a simple derivation of black hole entropy in d = 4,N = 2 compactifications of M -theory. We also show how the formalism of normal bundle anomaly cancellation clarifies the Kaluza-Klein origin of Chern-Simons terms in gauged supergravity th...