#5763 ⟨a, b | aabbab=baaba⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1b^-1a^-1ba^-1b⟩
- Anti-isomorphic embedding: φ(a) = b^-1, φ(b) = ab

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 ⇒ ba²ba	[1]

# ab:aabbab=baaba ab - -
aabbab=baaba

2 unique, 2 total

Σ	#	Presentation	Properties
11	5259	⟨a, b \| aabbbab=baba⟩	Can Inf
11	5351	⟨a, b \| ababaab=bbaa⟩	Can Inf