In mathematics, the Burnside ring of a finite group is an algebraic construction that encodes the different ways the group can act on finite sets. The ideas were introduced by William Burnside at the end of the nineteenth century, but the algebraic ring structure is a more recent development, due to Solomon (1967).
Read more about Burnside Ring: Formal Definition, Marks, Examples, Permutation Representations, Extensions
Famous quotes containing the word ring:
“When I received this [coronation] ring I solemnly bound myself in marriage to the realm; and it will be quite sufficient for the memorial of my name and for my glory, if, when I die, an inscription be engraved on a marble tomb, saying, Here lieth Elizabeth, which reigned a virgin, and died a virgin.”
—Elizabeth I (15331603)