rfree: Random free objects

In freegroup: The Free Group

Random free objects

Description

Creates a vector of random free objects. Intended as a quick “get you going” example of free group objects

Usage

rfree(n = 7, size = 4, number = size, powers = seq(from = -size, to = size))
rfreee(n = 30, size = 8, number = size, powers = seq(from = -size, to = size))
rfreeee(n = 40, size = 25, number = size, powers = seq(from = -size, to = size))

Arguments

n	Length of random vector to generate
size	Maximum length of each element
number	How many distinct letters to sample from
powers	Powers in resulting polynomial. An integer n is interpreted (via sample()) as seq_len(n)

Details

The auxiliary arguments specify the general complexity of the returned object with small meaning simpler.

Functions rfreee() and rfreeee() give, by default, successively more complicated expressions.

Author(s)

Robin K. S. Hankin

See Also

size

Examples

rfree()

abelianize(rfree())

rfree(10,2)
rfree(10,30,26)

rfree(powers=5)
rfree(powers=5:6)

rfree(20,2)^alpha(26)

freegroup documentation built on April 3, 2025, 11:32 p.m.