#13092 ⟨a, b | bab=aaa, abbb=a⟩

Properties

Presentation has sum-of-sides 11
Infinite non-commutative monoid

Complete rewriting system

Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

Reduction order:
- Right-to-left recursive path with deg(a) = 0; deg(b) = 1

a²⁶ ⇒ a²
a²⁴ba ⇒ ba
ba⁴ ⇒ a⁴b
a²b² ⇒ a²³ba
bab ⇒ a³
ba²b ⇒ a³ba³
b²a ⇒ a²¹ba²
ba³ba ⇒ a⁷ba³b
ab³ ⇒ a

# ab:bab=aaa,abbb=a reversed:a/b
aaaaaaaaaaaaaaaaaaaaaaaaaa=aa
aaaaaaaaaaaaaaaaaaaaaaaaba=ba
baaaa=aaaab
aabb=aaaaaaaaaaaaaaaaaaaaaaaba
bab=aaa
baab=aaabaaa
bba=aaaaaaaaaaaaaaaaaaaaabaa
baaaba=aaaaaaabaaab
abbb=a

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#13092 ⟨a, b | bab=aaa, abbb=a⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)