#1740 ⟨a, b | aabbbbaba=b⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaababa^-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.	a²b⁴ab² ⇒ bab⁴aba	[2]
2.	a²b⁴aba ⇒ b	[1]

# ab:aabbbbaba=b ba - -
aabbbbabb=babbbbaba
aabbbbaba=b

1 unique, 1 total

Σ	#	Presentation	Properties
10	2268	⟨a, b \| aabbaba=bbb⟩	Can Inf