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Group dynamics is a system of behaviors and psychological processes occurring within a social group (intragroup dynamics), or between social groups (intergroup dynamics). The study of group dynamics can be useful in understanding decision-making behaviour, tracking the spread of diseases in society, creating effective therapy techniques, and ...
Functional leadership theory (Hackman & Walton, 1986; McGrath, 1962) is a theory for addressing specific leader behaviors expected to contribute to organizational or unit effectiveness. This theory argues that the leader's main job is to see that whatever is necessary to group needs is taken care of; thus, a leader can be said to have done ...
Contingency theory of leadership. In the contingency theory of leadership, the success of the leader is a function of various factors in the form of subordinate, task, and/ or group variables. The following theories stress using different styles of leadership appropriate to the needs created by different organizational situations.
Basic groups: The smallest possible social group with a defined number of people (i.e. greater than 1)—often associated with family building: Dyad: Will be a group of two people. Social interaction in a dyad is typically more intense than in larger groups as neither member shares the other's attention with anyone else.
Definition. A normal form for a free group with generating set is a choice of a reduced word in for each element of . Normal Form Theorem for Free Groups. A free group has a unique normal form i.e. each element in is represented by a unique reduced word. Proof.
In the 1970s and 80s, Henri Tajfel and John Turner proposed two connected theories of social identity, self-categorization theory and social identity theory, that together form a method for understanding the psychological processes underlying how individuals make sense of their identities and group membership. [35]
In contrast to the traditional theory, the group size plays a decisive role in Olson's theory. Concerning the optimal group size it has to be stated that small groups possess a tendency toward suboptimal provision of public goods. But large groups often fail to provide themselves with a collective good at all. [15]
In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow [1] that give detailed information about the number of subgroups of fixed order that a given finite group contains. The Sylow theorems form a fundamental part of finite ...