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In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element.
order of a group The order of a group (G, •) is the cardinality (i.e. number of elements) of G. A group with finite order is called a finite group. order of a group element The order of an element g of a group G is the smallest positive integer n such that g n = e. If no such integer exists, then the order of g is said to be infinite.
As group members continue to work, they will engage each other in arguments about the structure of the group which often are significantly emotional and illustrate a struggle for status in the group. These activities mark the storming phase: Lack of cohesion, Subjectivity, Hidden agendas, Conflicts, Confrontation, Volatility, Resentment, anger ...
Cauchy's theorem is generalized by Sylow's first theorem, which implies that if p n is the maximal power of p dividing the order of G, then G has a subgroup of order p n (and using the fact that a p-group is solvable, one can show that G has subgroups of order p r for any r less than or equal to n).
Thought (or thinking) can be described as all of the following: An activity taking place in a: brain – organ that serves as the center of the nervous system in all vertebrate and most invertebrate animals (only a few invertebrates such as sponges, jellyfish, adult sea squirts and starfish do not have a brain).
Groupthink is sometimes stated to occur (more broadly) within natural groups within the community, for example to explain the lifelong different mindsets of those with differing political views (such as "conservatism" and "liberalism" in the U.S. political context [7] or the purported benefits of team work vs. work conducted in solitude). [8]
Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry.The number-theoretic strand was begun by Leonhard Euler, and developed by Gauss's work on modular arithmetic and additive and multiplicative groups related to quadratic fields.
Aggression is the mark of unsettled dominance order. Productive group cooperation requires that both dominance order and territorial arrangements (identity, self-concept) be settled with respect to the common goal and within the particular group. Some individuals may withdraw from interaction or be excluded from the developing group.