#2541 ⟨a, b | aabbab=baba⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1b^-1a^-1a^-1b⟩
- Embedding: φ(a) = baa, φ(b) = a^-1b^-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.	a²b²ab ⇒ (ba)²	[1]

# ab:aabbab=baba ab - -
aabbab=baba

2 unique, 2 total

Σ	#	Presentation	Properties
9	1251	⟨a, b \| abaab=bbaa⟩	Can Inf
11	5829	⟨a, b \| abaaab=babaa⟩	Can Inf