Isomorphism Theorem - Groups

Groups

We first state the three isomorphism theorems in the context of groups. Note that some sources switch the numbering of the second and third theorems. Sometimes, the lattice theorem is referred to as the fourth isomorphism theorem or the correspondence theorem.

Read more about this topic:  Isomorphism Theorem

Famous quotes containing the word groups:

    Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.
    Diana Crane (b. 1933)

    The awareness of the all-surpassing importance of social groups is now general property in America.
    Johan Huizinga (1872–1945)

    Trees appeared in groups and singly, revolving coolly and blandly, displaying the latest fashions. The blue dampness of a ravine. A memory of love, disguised as a meadow. Wispy clouds—the greyhounds of heaven.
    Vladimir Nabokov (1899–1977)