#4625 ⟨a, b | aabaabab=bba⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aababba^-1ba^-1b^-1⟩
- Anti-isomorphic embedding: φ(a) = b, φ(b) = ab^-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)²ab ⇒ b²a	[1]

# ab:aabaabab=bba ab - -
aabaabab=bba

3 unique, 3 total

Σ	#	Presentation	Properties
11	4094	⟨a, b \| aabaababb=ba⟩	Can Inf
11	4669	⟨a, b \| aababbab=bba⟩	Can Inf
11	5671	⟨a, b \| aabaab=bbaba⟩	Can Inf