Ad
related to: group theory policy example
Search results
Results From The WOW.Com Content Network
Group threat theory, also known as group position theory, [1] is a sociological theory that proposes the larger the size of an outgroup, the more the corresponding ingroup perceives it to threaten its own interests, resulting in the ingroup members having more negative attitudes toward the outgroup. [2]
Plus teacher and student package: Group Theory This package brings together all the articles on group theory from Plus, the online mathematics magazine produced by the Millennium Mathematics Project at the University of Cambridge, exploring applications and recent breakthroughs, and giving explicit definitions and examples of groups.
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.
The group consists of the finite strings (words) that can be composed by elements from A, together with other elements that are necessary to form a group. Multiplication of strings is defined by concatenation, for instance (abb) • (bca) = abbbca. Every group (G, •) is basically a factor group of a free group generated by G.
For example, the subgroup Z 7 of the non-abelian group of order 21 is normal (see List of small non-abelian groups and Frobenius group#Examples). An alternative proof of the result that a subgroup of index lowest prime p is normal, and other properties of subgroups of prime index are given in ( Lam 2004 ).
For example, Poole (see below) found in his empirical research that seemingly complex patterns of behavior in group decision-making result from the interplay of life-cycle and teleological motors. An important observation made by McGrath and Tschan in 2004 regarding the different models of group development found in the literature is that ...
For a concrete example of this, let V be the Klein four-group (which is isomorphic to the direct product, ). Since this group is abelian , every subgroup is normal; but every permutation of the 3 non-identity elements is an automorphism of V , so the 3 subgroups of order 2 are not characteristic.
In group theory, the induced representation is a representation of a group, G, which is constructed using a known representation of a subgroup H.Given a representation of H, the induced representation is, in a sense, the "most general" representation of G that extends the given one.