#4632 ⟨a, b | aabaabba=bab⟩

Properties

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

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.	(a²b)²ba ⇒ bab	[1]
2.	a²ba²b³ab ⇒ (ba)³ab²a	[2]

# ab:aabaabba=bab ba - -
aabaabba=bab
aabaabbbab=bababaabba

2 unique, 2 total

Σ	#	Presentation	Properties
11	4676	⟨a, b \| aababbba=bab⟩	Can Inf
11	5702	⟨a, b \| aababa=bbaab⟩	Can Inf