#5029 ⟨a, b | aaabaab=baaa⟩

Properties

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

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.	a(a²b)² ⇒ ba³	[1]

# ab:aaabaab=baaa ab - -
aaabaab=baaa

2 unique, 2 total

Σ	#	Presentation	Properties
9	1189	⟨a, b \| aaabb=baaa⟩	Can Inf
10	2445	⟨a, b \| aaabab=baaa⟩	Can Inf