#4339 ⟨a, b | abbaabbba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabbaaba^-1b⟩
- Embedding: φ(a) = aab, 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.	ab²a²b³a ⇒ b²	[1]
2.	b⁴a²b³a ⇒ ab²a²b⁵	[2]

# ab:abbaabbba=bb ab - -
abbaabbba=bb
bbbbaabbba=abbaabbbbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	3811	⟨a, b \| abbaabbbba=b⟩	Can Inf