#5432 ⟨a, b | aaaaaa=baabb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a²ba³ has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaaabba^-1a^-1b⟩
- Embedding: φ(a) = a, φ(b) = b^-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.	aba²b² ⇒ ba²b²a	[2]
2.	a⁶ ⇒ ba²b²	[1]

# ab:aaaaaa=baabb ba - -
abaabb=baabba
aaaaaa=baabb

1 unique, 1 total

Σ	#	Presentation	Properties
11	4224	⟨a, b \| aabbbbbba=bb⟩	Can Inf