#2757 ⟨a, b | baabb=abaaa⟩

Properties

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

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.	ba²b² ⇒ aba³	[1]
2.	ba(ab)²a³ ⇒ aba⁵b²	[2]

# ab:baabb=abaaa ab - -
baabb=abaaa
baababaaa=abaaaaabb

1 unique, 1 total

Σ	#	Presentation	Properties
10	1620	⟨a, b \| aaabaabba=b⟩	Can Inf