#10739 ⟨a, b | aaab=baa, bbbb=1⟩

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

a⁶⁷ ⇒ a²
a²ba ⇒ a³⁶b
ba² ⇒ a³b
a²b²a ⇒ a⁵³b²
a²b³a ⇒ a⁴⁶b³
b⁴ ⇒ 1

# ab:aaab=baa,bbbb=1 reversed:a/b
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=aa
aaba=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab
baa=aaab
aabba=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabb
aabbba=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbb
bbbb=1

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#10739 ⟨a, b | aaab=baa, bbbb=1⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)