#6186 ⟨a, b, c | aa=1, abccab=1⟩

Properties

Sum of relation sides is 8
Infinite non-Abelian group
Element ba has infinite order
Inverses of generators:
- a^-1 = a
- b^-1 = abda
- c^-1 = c(ab)²
- d^-1 = (ab)²

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

Auxiliary generators:
1. d = cc
Reduction order:
- Left-to-right recursive path with deg(b) = deg(a) = deg(d) = 0, b < a < d; deg(c) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# abc:aa=1,abccab=1 bad/c cc=d morph:2/0
aa=1
dab=abd
babd=a
dc=cd
babc=acabab
cc=d