#3661 ⟨a, b | aabbabbbba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabaabba^-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.	a²b²ab⁵ ⇒ bab²ab⁴a	[2]
2.	a²b²ab⁴a ⇒ b	[1]

# ab:aabbabbbba=b ba - -
aabbabbbbb=babbabbbba
aabbabbbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	4189	⟨a, b \| aabbabbba=bb⟩	Can Inf