#2505 ⟨a, b | aababa=baba⟩

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Presentation has sum-of-sides 10
Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a(ab)² ⋅ a = (ba)² and bab ⋅ a = (ba)², however a(ab)² ≠ bab
Enveloping group is isomorphic to ℤ₂ ∗ 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

# ab:aababa=baba acb baba=c magic:0
aac=c
bac=cba
baba=c
babc=cac

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