#5858 ⟨a, b | abaaba=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^-1b^-1ab^-1b^-1⟩
- Embedding: φ(a) = b^-1a, 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.	bab³ ⇒ (aba)²	[1]
2.	a(ba²)²b³ ⇒ bab²(aba)²	[2]

# ab:abaaba=babbb a/b - -
babbb=abaaba
abaabaabbb=babbabaaba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1648	⟨a, b \| aaabbabba=b⟩	Can Inf