#5829 ⟨a, b | abaaab=babaa⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1b^-1a^-1a^-1b⟩
- Embedding: φ(a) = a, φ(b) = a^-1a^-1a^-1b^-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.	baba² ⇒ aba³b	[1]

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

2 unique, 2 total

Σ	#	Presentation	Properties
9	1251	⟨a, b \| abaab=bbaa⟩	Can Inf
10	2541	⟨a, b \| aabbab=baba⟩	Can Inf