#5896 ⟨a, b | ababba=baabb⟩

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^-1⟩
- Embedding: φ(a) = ab^-1, φ(b) = b

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.	abab²a ⇒ ba²b²	[1]
2.	abab³a²b² ⇒ ba²b(b²a)²	[2]

# ab:ababba=baabb ba - -
ababba=baabb
ababbbaabb=baabbbabba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5232	⟨a, b \| aabbaba=baab⟩	Can Inf