#2204 ⟨a, b | aaabbba=bab⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabbbab^-1a^-1b^-1⟩
- 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.	a³b³a ⇒ bab	[1]
2.	a³b⁴ab ⇒ baba²b³a	[2]

# ab:aaabbba=bab ba - -
aaabbba=bab
aaabbbbab=babaabbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5618	⟨a, b \| aaabba=babab⟩	Can Inf