#5488 ⟨a, b | aaaaba=baabb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabab^-1aab^-1b^-1⟩
- Embedding: φ(a) = a, φ(b) = ba^-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.	a⁴ba ⇒ ba²b²	[1]
2.	a²(a²b²)² ⇒ ba²b²a³ba	[2]

# ab:aaaaba=baabb ba - -
aaaaba=baabb
aaaabbaabb=baabbaaaba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3402	⟨a, b \| aaaabbaaba=b⟩	Can Inf