#893 ⟨a, b | aaaabba=bb⟩

Properties

Sum of relation sides is 9
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabbab^-1b^-1⟩
- Embedding: φ(a) = a, φ(b) = b

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.	a⁴b²a ⇒ b²	[1]
2.	a⁴b⁴ ⇒ b²a³b²a	[2]

# ab:aaaabba=bb ba - -
aaaabba=bb
aaaabbbb=bbaaabba

1 unique, 1 total

Σ	#	Presentation	Properties
11	4444	⟨a, b \| aaaababa=bab⟩	Can Inf