#3766 ⟨a, b | ababaabbba=b⟩

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^-1abb⟩
- Embedding: φ(a) = ba, 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.	(ab)²a²b⁴ ⇒ b²aba²b³a	[2]
2.	(ab)²a²b³a ⇒ b	[1]

# ab:ababaabbba=b ba - -
ababaabbbb=bbabaabbba
ababaabbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
10	2033	⟨a, b \| abaaabba=bb⟩	Can Inf