#5904 ⟨a, b | ababba=bbabb⟩

Properties

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

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.	abab²a ⇒ b²ab²	[1]
2.	abab⁴ab² ⇒ b(bab²)²a	[2]

# ab:ababba=bbabb ba - -
ababba=bbabb
ababbbbabb=bbabbbabba

3 unique, 3 total

Σ	#	Presentation	Properties
9	807	⟨a, b \| aababbaa=b⟩	Can Inf
9	1205	⟨a, b \| aabaa=babb⟩	Can Inf
11	3564	⟨a, b \| aabaababaa=b⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
10	1702	⟨a, b \| aababbaba=b⟩	Can Inf