#5494 ⟨a, b | aaaaba=bbaab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabaabbab^-1⟩
- Anti-isomorphic embedding: φ(a) = a, φ(b) = b^-1a^-1a^-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.	a⁴ba ⇒ b²a²b	[1]
2.	b²(a²ba)² ⇒ a⁴b³a²b	[2]

# ab:aaaaba=bbaab ab - -
aaaaba=bbaab
bbaabaaaba=aaaabbbaab

1 unique, 1 total

Σ	#	Presentation	Properties
11	3379	⟨a, b \| aaaabaabba=b⟩	Can Inf