#2018 ⟨a, b | aabbbbba=bb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabba^-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 ⇒ b²	[1]
2.	a²b⁷ ⇒ b²ab⁵a	[2]

# ab:aabbbbba=bb ba - -
aabbbbba=bb
aabbbbbbb=bbabbbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5380	⟨a, b \| ababbba=bbbb⟩	Can Inf

2 unique, 2 total

Σ	#	Presentation	Properties
10	2753	⟨a, b \| baabb=aaaaa⟩	Can Inf
11	3796	⟨a, b \| ababbbbbba=b⟩	Can Inf