Hall Subgroup

A Hall subgroup of G is a subgroup whose order is a Hall divisor of the order of G. In other words, it is a subgroup whose order is coprime to its index.

If π is a set of primes, then a Hall π-subgroup is a subgroup whose order is a product of primes in π, and whose index is not divisible by any primes in π.

Read more about Hall Subgroup:  Examples, Hall's Theorem, A Converse To Hall's Theorem, Sylow Systems, Normal Hall Subgroups

Famous quotes containing the word hall:

    A cell for prayer, a hall for joy,—
    They treated nature as they would.
    Ralph Waldo Emerson (1803–1882)