#4730 ⟨a, b | aabbbaba=bbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaababa^-1a^-1bb⟩
- Embedding: φ(a) = ab, 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.	a²b³aba ⇒ b³	[1]
2.	(b³a)²ba ⇒ a²b³ab⁴	[2]

# ab:aabbbaba=bbb ab - -
aabbbaba=bbb
bbbabbbaba=aabbbabbbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	4213	⟨a, b \| aabbbbaba=bb⟩	Can Inf