#5552 ⟨a, b | aaabaa=baabb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabaab^-1aab^-1b^-1⟩
- Embedding: φ(a) = a, φ(b) = ba^-1a^-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.	ba²b² ⇒ a³ba²	[1]
2.	a³ba⁴b² ⇒ ba(aba²)²	[2]

# ab:aaabaa=baabb a/b - -
baabb=aaabaa
aaabaaaabb=baabaaabaa

1 unique, 1 total

Σ	#	Presentation	Properties
11	3489	⟨a, b \| aaabbaabaa=b⟩	Can Inf