#3720 ⟨a, b | abaaababba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1aba^-1bb⟩
- Anti-isomorphic embedding: φ(a) = a, φ(b) = ba^-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.	aba³bab³ ⇒ b²a³bab²a	[2]
2.	aba³bab²a ⇒ b	[1]

# ab:abaaababba=b ba - -
abaaababbb=bbaaababba
abaaababba=b

2 unique, 2 total

Σ	#	Presentation	Properties
11	3589	⟨a, b \| aababaabba=b⟩	Can Inf
11	5336	⟨a, b \| abaabba=bbab⟩	Can Inf