#5334 ⟨a, b | abaabba=babb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1abba^-1b⟩
- 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.	aba²b²a ⇒ bab²	[1]
2.	aba²b³ab² ⇒ bab³a²b²a	[2]

# ab:abaabba=babb ba - -
abaabba=babb
abaabbbabb=babbbaabba

2 unique, 2 total

Σ	#	Presentation	Properties
11	3636	⟨a, b \| aabbaababa=b⟩	Can Inf
11	3724	⟨a, b \| abaaabbaba=b⟩	Can Inf