#4692 ⟨a, b | aabbaaba=bab⟩

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⟩
- Anti-isomorphic embedding: φ(a) = a, φ(b) = b^-1a^-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.	a²b²a²ba ⇒ bab	[1]
2.	(a²b²)²ab ⇒ (ba)²b²a²ba	[2]

# ab:aabbaaba=bab ba - -
aabbaaba=bab
aabbaabbab=bababbaaba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5696	⟨a, b \| aababa=baabb⟩	Can Inf

1 unique, 1 total

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