#2290 ⟨a, b | aabbbba=bbb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabba^-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.	a²b⁴a ⇒ b³	[1]
2.	a²b⁷ ⇒ b³ab⁴a	[2]

# ab:aabbbba=bbb ba - -
aabbbba=bbb
aabbbbbbb=bbbabbbba

2 unique, 2 total

Σ	#	Presentation	Properties
10	2562	⟨a, b \| aabbba=bbbb⟩	Can Inf
11	4852	⟨a, b \| ababbbba=bbb⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
11	4324	⟨a, b \| ababbbbba=bb⟩	Can Inf