#4705 ⟨a, b | aabbabab=bba⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aababa^-1bba^-1b^-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.	a²b²(ab)² ⇒ b²a	[1]

# ab:aabbabab=bba ab - -
aabbabab=bba

2 unique, 2 total

Σ	#	Presentation	Properties
11	4102	⟨a, b \| aabaabbab=ba⟩	Can Inf
11	5835	⟨a, b \| abaaab=bbaba⟩	Can Inf