Search results
Results from the WOW.Com Content Network
The leader–member exchange (LMX) theory is a relationship-based approach to leadership that focuses on the two-way relationship between leaders and followers. [1]The latest version (2016) of leader–member exchange theory of leadership development explains the growth of vertical dyadic workplace influence and team performance in terms of selection and self-selection of informal ...
The theory focuses on types of leader-subordinate relationships [4] which are further classified into subgroups, namely the in-group and the out-group. [5] The in-group consists of members that receive greater responsibilities and encouragement, [ 5 ] and are able to express opinions without having any restrictions.
Psychological research in the theory of LMX has empirically proven its usefulness in understanding group processes. The natural tendency for groups to develop into subgroups and create a clique of an in-group versus an out-group is supported by researcher (Bass, 1990).
For example, in the symmetric group shown above, where ord(S 3) = 6, the possible orders of the elements are 1, 2, 3 or 6. The following partial converse is true for finite groups: if d divides the order of a group G and d is a prime number, then there exists an element of order d in G (this is sometimes called Cauchy's theorem).
The quality of the relationship between the two can be described by Sahin as a term called leader-member exchange (LMX) theory. What LMX theory basically points out against McGregor theory is that “leaders develop unique relationships with different subordinates and that the quality of these relationships is a determinant of how each ...
A presentation of a group determines a geometry, in the sense of geometric group theory: one has the Cayley graph, which has a metric, called the word metric. These are also two resulting orders, the weak order and the Bruhat order, and corresponding Hasse diagrams. An important example is in the Coxeter groups.
In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, z −1 xzz and y −1 zxx −1 yz −1 are words in the set {x, y, z}. Two different words may evaluate to the same value in G, [1] or even in every group. [2]
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.