## A criterion for c-capability of pairs of groups## Azam Hokmabadi, Azam Pourmirzaei, Saeed Kayvanfar
The notion of capability for pairs of groups was defined by Ellis in 1996.
In this paper, we extend the theory of c-capability for pairs of groups and
introduce a criterion, denoted by Z
_{c}^{*}(G,N),
for c-capability of a pair (G,N) of groups. We also study the behavior of
Z _{c}^{*}(G,N) with respect to direct products of groups.
Tbilisi Mathematical Journal, Vol. 5(1) (2012), pp. 31-38 |