#4430 ⟨a, b | aaaabaaa=bbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabaaab^-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.	a(a³b)² ⇒ ba⁴ba³	[2]
2.	b³ ⇒ a⁴ba³	[1]

# ab:aaaabaaa=bbb a/b - -
aaaabaaab=baaaabaaa
bbb=aaaabaaa

1 unique, 1 total

Σ	#	Presentation	Properties
11	3414	⟨a, b \| aaaabbbaaa=b⟩	Can Inf