#2033 ⟨a, b | abaaabba=bb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1b^-1abb⟩
- Anti-isomorphic embedding: φ(a) = a, φ(b) = b

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.	aba³b²a ⇒ b²	[1]
2.	b³a³b²a ⇒ aba³b⁴	[2]

# ab:abaaabba=bb ab - -
abaaabba=bb
bbbaaabba=abaaabbbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	3766	⟨a, b \| ababaabbba=b⟩	Can Inf