#1686 ⟨a, b | aabaabbba=b⟩

Properties

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

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.	a²ba²b⁴ ⇒ baba²b³a	[2]
2.	a²ba²b³a ⇒ b	[1]

# ab:aabaabbba=b ba - -
aabaabbbb=babaabbba
aabaabbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	4270	⟨a, b \| abaababba=bb⟩	Can Inf