#4752 ⟨a, b | aabbbbba=bbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabba^-1a^-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.	a²b⁵a ⇒ b³	[1]
2.	a²b⁸ ⇒ b³ab⁵a	[2]

# ab:aabbbbba=bbb ba - -
aabbbbba=bbb
aabbbbbbbb=bbbabbbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5808	⟨a, b \| aabbba=bbbbb⟩	Can Inf