#2252 ⟨a, b | aababba=bbb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaababba^-1b⟩
- Embedding: φ(a) = ab, φ(b) = a^-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.	a²bab²a ⇒ b³	[1]
2.	b³abab²a ⇒ a²bab⁵	[2]

# ab:aababba=bbb ab - -
aababba=bbb
bbbababba=aababbbbb

1 unique, 1 total

Σ	#	Presentation	Properties
10	1708	⟨a, b \| aababbbba=b⟩	Can Inf