Which international abstract-art groups did Piet Mondrian join during the early 1930s?

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Piet Mondrian Mondrian, photograph by Arnold Newman, 1942.

During the early 1930s, the Dutch painter Piet Mondrian became affiliated with two influential international groups that promoted and exhibited abstract art:

Cercle et Carré ("Circle and Square")
Abstraction-Création1

These associations were instrumental in the international art world's movement toward abstraction during that period. While Mondrian was a cofounder of the De Stijl movement in 1917, his involvement with these specific groups in the 1930s helped further his reach and the promotion of his artistic principles.123