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:
“Only the groups which exclude us have magic.”
—Mason Cooley (b. 1927)
“In America every woman has her set of girl-friends; some are cousins, the rest are gained at school. These form a permanent committee who sit on each other’s affairs, who “come out” together, marry and divorce together, and who end as those groups of bustling, heartless well-informed club-women who govern society. Against them the Couple of Ehepaar is helpless and Man in their eyes but a biological interlude.”
—Cyril Connolly (1903–1974)
“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)