#2125 ⟨a, b | aaaabaa=baa⟩

Quick links

Presentation has sum-of-sides 10
Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a⁴ba ⋅ a = ba² and ba ⋅ a = ba², however a⁴ba ≠ ba
Enveloping group is isomorphic to ℤ₄ ∗ ℤ

Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

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

# ab:aaaabaa=baa ac/b baa=c magic:0
aaaac=c
bc=caac
baa=c
bac=caaac

Up:	Monoids with two generators and one relation
Prev:	#2124 ⟨a, b \| aaaabaa=abb⟩
Next:	#2126 ⟨a, b \| aaaabaa=bab⟩