#1251 ⟨a, b | abaab=bbaa⟩

Properties

Sum of relation sides is 9
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^-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.	b²a² ⇒ aba²b	[1]

# ab:abaab=bbaa reversed:a/b - -
bbaa=abaab

2 unique, 2 total

Σ	#	Presentation	Properties
10	2541	⟨a, b \| aabbab=baba⟩	Can Inf
11	5829	⟨a, b \| abaaab=babaa⟩	Can Inf