#4213 ⟨a, b | aabbbbaba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaababa^-1a^-1bb⟩
- Embedding: φ(a) = b, φ(b) = a

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.	a²b⁴aba ⇒ b²	[1]
2.	b²ab⁴aba ⇒ a²b⁴ab³	[2]

# ab:aabbbbaba=bb ab - -
aabbbbaba=bb
bbabbbbaba=aabbbbabbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	4730	⟨a, b \| aabbbaba=bbb⟩	Can Inf