I think Nordhaug's article can be your starting point. The article gives you a basic idea of firm-specific vs. non-firm-specific core competences and industry-specific vs. industry-specific core competences.
Nordhaug, O (1998) Competence specificities in organizations: a classificatory framework, Human-Resource Development for the Future, Vol. 28, No. 1, pp. 8-29.
Fai and von Tunzelmann (2001) is also worth a read. It gives you more ideas about industry-specific core competencies.
Fai, F and von Tunzelmann, N. (2001), Industry-specific competencies and converging technological systems: evidence from patents, Structural Change and Economic Dynamics, Vol. 12, No. 2, pp.141–170.
Please research C. K prahlad..Gary Hamel work as lots of papers are available...Daughter of C K Prahlad is Deepa Prahlad and she also wrote on Innovation and Core competency.
Your views may be correct if you take the keiretsu approach to industrial dominance. With the result that certain core competencies, such as:financing and sourcing, is attributed to groups of companies (hence industry) rather than lone companies. Such an approach may not be viewed as a "core competence" when we consider how such collisions actually becomes anti-competitive internationally. So the line drawn between core competencies and anti-competitive behavior is a very thin one when we scale the idea to the global level.
Chapter The evolution of trust in Japan: The case of vertical keiretsu groups