#4380 ⟨a, b | aaaaaaba=bab⟩

Properties

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

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.	a⁶ba ⇒ bab	[1]
2.	a⁶b²ab ⇒ baba⁵ba	[2]

# ab:aaaaaaba=bab ba - -
aaaaaaba=bab
aaaaaabbab=babaaaaaba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1829	⟨a, b \| aaaaaaba=bb⟩	Can Inf

2 unique, 2 total

Σ	#	Presentation	Properties
10	1560	⟨a, b \| aaaaaabba=b⟩	Can Inf
11	3326	⟨a, b \| aaaaaababa=b⟩	Can Inf