#3334 ⟨a, b | aaaaaabbba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaaabab^-1b^-1b^-1⟩
- Anti-isomorphic embedding: φ(a) = a, 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.	a⁶b⁴ ⇒ ba⁵b³a	[2]
2.	a⁶b³a ⇒ b	[1]

# ab:aaaaaabbba=b ba - -
aaaaaabbbb=baaaaabbba
aaaaaabbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	4382	⟨a, b \| aaaaaaba=bbb⟩	Can Inf