#1102 ⟨a, b | aabbba=bbb⟩

Properties

Sum of relation sides is 9
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabba^-1a^-1a^-1b⟩
- Embedding: φ(a) = b, 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.	a²b³a ⇒ b³	[1]
2.	a²b⁶ ⇒ (b³a)²	[2]

# ab:aabbba=bbb ba - -
aabbba=bbb
aabbbbbb=bbbabbba

2 unique, 2 total

Σ	#	Presentation	Properties
10	2070	⟨a, b \| ababbbba=bb⟩	Can Inf
11	3822	⟨a, b \| abbabbbbba=b⟩	Can Inf