#4676 ⟨a, b | aababbba=bab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aababa^-1bab^-1b^-1⟩
- Anti-isomorphic embedding: φ(a) = ab, φ(b) = b^-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.	a²bab³a ⇒ bab	[1]
2.	a²bab⁴ab ⇒ (ba)³b³a	[2]

# ab:aababbba=bab ba - -
aababbba=bab
aababbbbab=babababbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	4632	⟨a, b \| aabaabba=bab⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
11	5702	⟨a, b \| aababa=bbaab⟩	Can Inf