#3616 ⟨a, b | aababbbaba=b⟩

Properties

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

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.	a²(bab²)² ⇒ (ba)²b³aba	[2]
2.	a²bab³aba ⇒ b	[1]

# ab:aababbbaba=b ba - -
aababbbabb=bababbbaba
aababbbaba=b

2 unique, 2 total

Σ	#	Presentation	Properties
10	1972	⟨a, b \| aababbaa=bb⟩	Can Inf
11	5173	⟨a, b \| aababaa=babb⟩	Can Inf