#4205 ⟨a, b | aabbbabba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabaaba^-1bb⟩
- Embedding: φ(a) = aba, 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.	a²b(b²a)² ⇒ b²	[1]
2.	a²b³ab⁴ ⇒ b(bab²)²a	[2]

# ab:aabbbabba=bb ba - -
aabbbabba=bb
aabbbabbbb=bbabbbabba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3686	⟨a, b \| aabbbbabba=b⟩	Can Inf