#2400 ⟨a, b | aaaaba=babb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabab^-1ab^-1b^-1⟩
- Embedding: φ(a) = a, φ(b) = ba^-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.	a⁴ba ⇒ bab²	[1]
2.	a³(ab²)² ⇒ bab²a³ba	[2]

# ab:aaaaba=babb ba - -
aaaaba=babb
aaaabbabb=babbaaaba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1600	⟨a, b \| aaaabbaba=b⟩	Can Inf