#5204 ⟨a, b | aababba=bbab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aababba^-1bab^-1⟩
- Embedding: φ(a) = ab, φ(b) = a^-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.	a²bab²a ⇒ b²ab	[1]
2.	a²bab⁴ab ⇒ b(ba)³b²a	[2]

# ab:aababba=bbab ba - -
aababba=bbab
aababbbbab=bbabababba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3568	⟨a, b \| aabaababba=b⟩	Can Inf