#5564 ⟨a, b | aaabaa=bbbbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabbba^-1bb⟩
- Embedding: φ(a) = b, 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.	a(a²b)² ⇒ ba³ba²	[2]
2.	b⁵ ⇒ a³ba²	[1]

# ab:aaabaa=bbbbb a/b - -
aaabaab=baaabaa
bbbbb=aaabaa

1 unique, 1 total

Σ	#	Presentation	Properties
11	3528	⟨a, b \| aaabbbbbaa=b⟩	Can Inf