#4189 ⟨a, b | aabbabbba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabaabba^-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.	a²b²ab³a ⇒ b²	[1]
2.	a²b²ab⁵ ⇒ (b²a)²b³a	[2]

# ab:aabbabbba=bb ba - -
aabbabbba=bb
aabbabbbbb=bbabbabbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3661	⟨a, b \| aabbabbbba=b⟩	Can Inf