#2771 ⟨a, b | babbb=abaaa⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1a^-1b^-1b^-1b^-1⟩
- Embedding: φ(a) = a^-1, φ(b) = b^-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.	bab³ ⇒ aba³	[1]
2.	(bab)²a³ ⇒ aba⁴b³	[2]

# ab:babbb=abaaa ab - -
babbb=abaaa
babbabaaa=abaaaabbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	3466	⟨a, b \| aaabababba=b⟩	Can Inf