The authors sought to test Homans' proposition that small groups inevitably generate a social structure which combines subgroups (cliques) and a ranking system. We present a graph theoretical model of such a structure and prove that a necessary and sufficient condition for its existence is the absence of seven particular triad types. Expected…

This is a final report, for administrative purposes, of studies to be published in the general category of mathematical theory of social groups, with emphasis on the large groups typical of educational communities. Since the study of the large and complicated structures of high school and college communities is difficult by purely empirical…

THE PRIMARY PURPOSE OF THIS EXPERIMENT WAS TO DETERMINE WHETHER HIERARCHICALLY DIFFERENTIATED GROUPS WERE AS PRODUCTIVE ON PROBLEM-SOLVING TASKS AS HIERARCHICALLY UNDIFFERENTIATED GROUPS. THE EXPERIMENT ALSO INVESTIGATED THE EFFECTS OF FORMALLY BASED STATUS DIFFERENCES ON GROUP EFFICIENCY AND RISK-TAKING. TWENTY GROUPS CONTAINING FOUR SUBJECTS…

The study presents the results of testing an original obersvation instrument designed to identify a power elite in multiple sessions of two eight-member adult discussion groups. Two questions guided the development of the study: (1) Can a power elite be identified in participation training groups? (2) Can an effective observation instrument with…