#1762 ⟨a, b | abaaabbba=b⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabab^-1abbb⟩
- 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.	aba³b⁴ ⇒ b²a³b³a	[2]
2.	aba³b³a ⇒ b	[1]

# ab:abaaabbba=b ba - -
abaaabbbb=bbaaabbba
abaaabbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	4294	⟨a, b \| ababaabba=bb⟩	Can Inf