#5806 ⟨a, b | aabbba=bbbab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabaaabbab^-1⟩
- Embedding: φ(a) = aaab, φ(b) = a^-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.	a²b³a ⇒ b³ab	[1]
2.	a²b⁶ab ⇒ b³abab³a	[2]

# ab:aabbba=bbbab ba - -
aabbba=bbbab
aabbbbbbab=bbbababbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3438	⟨a, b \| aaabaaabba=b⟩	Can Inf