#2754 ⟨a, b | baabb=aaaba⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1aab^-1b^-1⟩
- Anti-isomorphic embedding: φ(a) = a^-1, φ(b) = b^-1aa

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.	a³ba ⇒ ba²b²	[1]
2.	a(a²b²)² ⇒ (ba²b)²a	[2]

# ab:baabb=aaaba ba - -
aaaba=baabb
aaabbaabb=baabbaaba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1640	⟨a, b \| aaabbaaba=b⟩	Can Inf