Loading [MathJax]/jax/output/HTML-CSS/jax.js

First time here? Check out the FAQ!

Ask Your Question
1

Elements of a free group

asked 3 years ago

bobby.mir gravatar image

updated 3 years ago

My question is regarding the presentation of elements of the free group F2.

G.<a,b,c> = FreeGroup()
G([1,1,2,-1,-3,2])

Then the result will be

a^2*b*a^-1*c^-1*b

Is there any command to get the array? I mean we give $a^2ba^-1c^-1b$ then it returns [1,1,2,-1,-3,2].

Preview: (hide)

1 Answer

Sort by » oldest newest most voted
3

answered 3 years ago

FrédéricC gravatar image

like this

sage: G.<a,b,c> = FreeGroup()
sage: h = G([1,1,2,-1,-3,2])
sage: h.Tietze()
(1, 1, 2, -1, -3, 2)
Preview: (hide)
link

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools

1 follower

Stats

Asked: 3 years ago

Seen: 220 times

Last updated: Jan 11 '22