#4060 ⟨a, b | aaabbbbba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabbba^-1a^-1b⟩
- Anti-isomorphic embedding: φ(a) = b, φ(b) = a

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.	a³b⁵a ⇒ b²	[1]
2.	a³b⁷ ⇒ b²a²b⁵a	[2]

# ab:aaabbbbba=bb ba - -
aaabbbbba=bb
aaabbbbbbb=bbaabbbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5628	⟨a, b \| aaabba=bbbbb⟩	Can Inf