#4270 ⟨a, b | abaababba=bb⟩

Properties

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

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.	(aba)²b²a ⇒ b²	[1]
2.	b³a²bab²a ⇒ (aba)²b⁴	[2]

# ab:abaababba=bb ab - -
abaababba=bb
bbbaababba=abaababbbb

1 unique, 1 total

Σ	#	Presentation	Properties
10	1686	⟨a, b \| aabaabbba=b⟩	Can Inf