#3867 ⟨a, b | aaaaabaaa=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabaaab^-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.	b² ⇒ a⁵ba³	[1]
2.	a⁵ba³b ⇒ ba⁵ba³	[2]

# ab:aaaaabaaa=bb a/b - -
bb=aaaaabaaa
aaaaabaaab=baaaaabaaa

1 unique, 1 total

Σ	#	Presentation	Properties
11	3354	⟨a, b \| aaaaabbaaa=b⟩	Can Inf