#1957 ⟨a, b | aabaabba=bb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabaabbab^-1b^-1⟩
- Embedding: φ(a) = a, φ(b) = b

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)²ba ⇒ b²	[1]
2.	a²ba²b⁴ ⇒ b²aba²b²a	[2]

# ab:aabaabba=bb ba - -
aabaabba=bb
aabaabbbb=bbabaabba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3740	⟨a, b \| abaababbba=b⟩	Can Inf