#1674 ⟨a, b | aabaaabba=b⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabaab^-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.	a²ba³b³ ⇒ baba³b²a	[2]
2.	a²ba³b²a ⇒ b	[1]

# ab:aabaaabba=b ba - -
aabaaabbb=babaaabba
aabaaabba=b

1 unique, 1 total

Σ	#	Presentation	Properties
10	2560	⟨a, b \| aabbba=bbab⟩	Can Inf