Beyond formalism: Group theory in the symmetries of culture

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• I thank Emily Lyle for her enthusiasms in these matters, for inviting me to the “Three Axes and Eight Sections” Symposium, and for comments on an early draft of this paper. I thank Patrick Doreian and three referees for advice and constructive comment. My thanks are due also to T. Marshall for preparation of the manuscript. Parts of the arguments have been taken from Lucich (1987), (1989a) and (1989b) which provide analyses and evidence in greater elaboration.
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