#1109 ⟨a, b | abaaab=bba⟩

Properties

Sum of relation sides is 9
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1b^-1a^-1b⟩
- Embedding: φ(a) = a, φ(b) = b^-1a^-1a^-1a^-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.	b²a ⇒ aba³b	[1]

# ab:abaaab=bba reversed:a/b - -
bba=abaaab

3 unique, 3 total

Σ	#	Presentation	Properties
10	1994	⟨a, b \| aabbabab=ba⟩	Can Inf
10	2044	⟨a, b \| abaabbab=ba⟩	Can Inf
11	5291	⟨a, b \| abaaaab=baba⟩	Can Inf