#3318 ⟨a, b | aaaaaaabba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaaaabab^-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.	a⁷b³ ⇒ ba⁶b²a	[2]
2.	a⁷b²a ⇒ b	[1]

# ab:aaaaaaabba=b ba - -
aaaaaaabbb=baaaaaabba
aaaaaaabba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	3843	⟨a, b \| aaaaaaaba=bb⟩	Can Inf