#5800 ⟨a, b | aabbba=babbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1aaabb⟩
- Anti-isomorphic embedding: φ(a) = baaa, 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.	a²b³a ⇒ bab³	[1]
2.	a²b⁴ab³ ⇒ ba(b³a)²	[2]

# ab:aabbba=babbb ba - -
aabbba=babbb
aabbbbabbb=babbbabbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3485	⟨a, b \| aaabbaaaba=b⟩	Can Inf