#5591 ⟨a, b | aaabab=bbaba⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaababba^-1b^-1b^-1⟩
- Anti-isomorphic embedding: φ(a) = a, φ(b) = b^-1a^-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.	a³bab ⇒ b(ba)²	[1]

# ab:aaabab=bbaba ab - -
aaabab=bbaba

2 unique, 2 total

Σ	#	Presentation	Properties
10	2181	⟨a, b \| aaababb=bba⟩	Can Inf
11	4654	⟨a, b \| aabababb=baa⟩	Can Inf