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  2. Cyclic group - Wikipedia

    en.wikipedia.org/wiki/Cyclic_group

    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.

  3. Group development - Wikipedia

    en.wikipedia.org/wiki/Group_development

    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 ...

  4. Graves's emergent cyclical levels of existence - Wikipedia

    en.wikipedia.org/wiki/Graves's_emergent_cyclical...

    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 ...

  5. Cyclothymia - Wikipedia

    en.wikipedia.org/wiki/Cyclothymia

    Cyclothymia (/ ˌ s aɪ k l ə ˈ θ aɪ m i ə /, siy-kluh-THIY-mee-uh), also known as cyclothymic disorder, psychothemia / psychothymia, [5] bipolar III, [6] affective personality disorder [7] and cyclothymic personality disorder, [8] is a mental and behavioural disorder [9] that involves numerous periods of symptoms of depression and periods of symptoms of elevated mood. [3]

  6. Group dynamics - Wikipedia

    en.wikipedia.org/wiki/Group_dynamics

    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 ...

  7. Lagrange's theorem (group theory) - Wikipedia

    en.wikipedia.org/wiki/Lagrange's_theorem_(group...

    In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then | H | is a divisor of | G |, 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 ...

  8. Subgroups of cyclic groups - Wikipedia

    en.wikipedia.org/wiki/Subgroups_of_cyclic_groups

    The subgroup of order n / d is a subgroup of the subgroup of order n / e if and only if e is a divisor of d. The lattice of subgroups of the infinite cyclic group can be described in the same way, as the dual of the divisibility lattice of all positive integers. If the infinite cyclic group is represented as the additive group on the integers ...

  9. Collective identity - Wikipedia

    en.wikipedia.org/wiki/Collective_identity

    Collective identity or group identity is a shared sense of belonging to a group. This concept appears within a few social science fields. National identity is a simple example, though myriad groups exist which share a sense of identity. Like many social concepts or phenomena, it is constructed, not empirically defined.