#3466 ⟨a, b | aaabababba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1a^-1b^-1b^-1b^-1⟩
- Embedding: φ(a) = b^-1, φ(b) = ba

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

#	Rule	Proof
1.	a²(ab)³b² ⇒ ba(ab)³ba	[2]
2.	a²(ab)³ba ⇒ b	[1]

# ab:aaabababba=b ba - -
aaabababbb=baabababba
aaabababba=b

1 unique, 1 total

Σ	#	Presentation	Properties
10	2771	⟨a, b \| babbb=abaaa⟩	Can Inf