Elements of a free group

bobby.mir
65 ●1 ●1 ●6

My question is regarding the presentation of elements of the free group $F_2$.

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].

1 Answer

Sort by » oldest newest most voted

5206 ●3 ●43 ●114

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)

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

1 follower

Asked: 2022-01-11 20:57:01 +0100

Seen: 178 times

Last updated: Jan 11 '22