A Theory of Group Structures: 2 Volume Set Kenneth D. Mackenzie
One problem that cuts across many different social sciences is the
aggregation of individuals into groups. Actually, we know very little
about how to conduct an aggregation.. Yet we humans spend most of our lives
in aggregations with others. The simultaneous presence of inadequate theory
and widespread evidence of the need for such a theory is stimulating.
If two persons aggregate they will presumably interact on the two halfchannels between them. If three persons aggregate they can interact on three
pairs of half-channels. Four can interact on six pairs of half-channels,
five on ten, six on fifteen, etc. One method for describing aggregation is
to determine how and under what conditions members of an aggregation do or
do not use these available half-channels. Equivalently, one aspect of the
problem of aggregation is the development of a theory of group structures.
Such a theory should dwell primarily on how and why structures change.
Mathematics – Algebra
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