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A cyclic group is a group which is equal to one of its cyclic subgroups: G = g for some element g, called a generator of G. For a finite cyclic group G of order n we have G = {e, g, g2, ... , gn−1}, where e is the identity element and gi = gj whenever i ≡ j (mod n); in particular gn = g0 = e, and g−1 = gn−1.
Group development. The goal of most research on group development is to learn why and how small groups change over time. To quality of the output produced by a group, the type and frequency of its activities, its cohesiveness, the existence of group conflict. A number of theoretical models have been developed to explain how certain groups ...
Graves's emergent cyclical levels of existence. Graves's emergent cyclical levels of existence (E-C theory or ECLET) is a theory of adult human development constructed from experimental data by Union College professor of psychology Clare W. Graves. It produces an open-ended series of levels, [1] and has been used as a basis for Spiral Dynamics ...
The group consisting of all permutations of a set M is the symmetric group of M. p-group. If p is a prime number, then a p -group is one in which the order of every element is a power of p. A finite group is a p -group if and only if the order of the group is a power of p. p-subgroup. A subgroup that is also a p-group.
Group dynamics is a system of behaviors and psychological processes occurring within a social group (intra group dynamics), or between social groups (inter group 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 ...
In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then is a divisor of , i.e. the order (number of elements) of every subgroup H divides the order of group G. The theorem is named after Joseph-Louis Lagrange. The following variant states that for a subgroup of a finite group ...
Intergroup relations refers to interactions between individuals in different social groups, and to interactions taking place between the groups themselves collectively. It has long been a subject of research in social psychology, political psychology, and organizational behavior. [1][2] In 1966, Muzafer Sherif proposed a now-widely recognized ...
In sociological terms, groups can fundamentally be distinguished from one another by the extent to which their nature influence individuals and how. [2][3] A primary group, for instance, is a small social group whose members share close, personal, enduring relationships with one another (e.g. family, childhood friend).