Growth Rate (group Theory)
In group theory, the growth rate of a group with respect to a symmetric generating set describes the size of balls in the group. Every element in the group can be written as a product of generators, and the growth rate counts the number of elements that can be written as a product of length n.
Read more about Growth Rate (group Theory): Definition, Polynomial and Exponential Growth, Examples
Famous quotes containing the words growth and/or rate:
“It is in the comprehension of the physically disabled, or disordered ... that we are behind our age.... sympathy as a fine art is backward in the growth of progress ...”
—Elizabeth Stuart Phelps (18441911)
“If I die prematurely at any rate I shall be saved from being bored to death at my own success.”
—Samuel Butler (18351902)