#2112 ⟨a, b | aaaaaba=bbb⟩

Properties

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

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.	a⁵bab ⇒ ba⁵ba	[2]
2.	b³ ⇒ a⁵ba	[1]

# ab:aaaaaba=bbb a/b - -
aaaaabab=baaaaaba
bbb=aaaaaba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1576	⟨a, b \| aaaaabbba=b⟩	Can Inf