#5183 ⟨a, b | aababab=baaa⟩

Properties

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

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(ab)³ ⇒ ba³	[1]

# ab:aababab=baaa ab - -
aababab=baaa

3 unique, 3 total

Σ	#	Presentation	Properties
9	1060	⟨a, b \| aaabbb=baa⟩	Can Inf
9	1195	⟨a, b \| aaabb=bbba⟩	Can Inf
11	4519	⟨a, b \| aaababab=baa⟩	Can Inf