#5696 ⟨a, b | aababa=baabb⟩

Properties

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

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.	a²(ba)² ⇒ ba²b²	[1]
2.	a²bab²a²b² ⇒ ba²b(ba)³	[2]

# ab:aababa=baabb ba - -
aababa=baabb
aababbaabb=baabbababa

2 unique, 2 total

Σ	#	Presentation	Properties
11	4692	⟨a, b \| aabbaaba=bab⟩	Can Inf
11	4728	⟨a, b \| aabbbaba=bab⟩	Can Inf