#3568 ⟨a, b | aabaababba=b⟩

Properties

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

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.	(a²b)²ab³ ⇒ b(aba)²b²a	[2]
2.	(a²b)²ab²a ⇒ b	[1]

# ab:aabaababba=b ba - -
aabaababbb=babaababba
aabaababba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	5204	⟨a, b \| aababba=bbab⟩	Can Inf