#3822 ⟨a, b | abbabbbbba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabba^-1a^-1a^-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.	ab²ab⁶ ⇒ b³ab⁵a	[2]
2.	ab²ab⁵a ⇒ b	[1]

# ab:abbabbbbba=b ba - -
abbabbbbbb=bbbabbbbba
abbabbbbba=b

2 unique, 2 total

Σ	#	Presentation	Properties
9	1102	⟨a, b \| aabbba=bbb⟩	Can Inf
10	2070	⟨a, b \| ababbbba=bb⟩	Can Inf