In this paper, various physical properties of ZnO piezoelectric crystal have been calculated by the methods of density functional theory and density functional perturbation theory. These tensors may be defined as second derivatives...

In 1940, P. Hall introduced the concept of isoclinism of groups. In the

present paper, we introduce the notion of tensor isoclinism between

two groups. Among other results it is shown that the tensor degree of

a given group G...

In thisaper we study some properties of non-abelian tensor product of two groups....

The aim of this paper is to determine the non-abelian tensor square and

Schur multiplier of groups of square free order and of groups of orders p2q, pq2 and p2qr,

where p, q and r are primes and p < q < r....

In this paper, in the class of p-groups of order p4 , we obtain the non-abelian exterior square, the exterior center, the non-abelian tensor square, the tensor center and the third homotopy group of suspension of an Eilenberg–MacLane space k(G,1...

We investigate the notion of character inner amenability for the projective tensor product of Banach algebras....

A group G is said to be capable if it is isomorphic to the central

factor group H/Z(H) for some group H. Let G be a nonabelian group of

order p2q for distinct primes p and q. In this paper, we compute the nonabelian

tensor...

The determination of G⊗G for linear groups was mentioned as an open problem by Brown et al. (1987). Hannebauer focused on the nonabelian tensor square of SL(2, q), PSL(2, q), GL(2, q) and PGL(2, q) for all q ≥ 5 and q = 9 in a contribution of 1990...

Abstract. Let G G be the tensor square of a group G. The set of all

elements a in G such that a g = 1⊗, for all g in G, is called the tensor

centre of G and denoted by Z⊗(G). In this paper some properties of the

tensor centre...