#2768 ⟨a, b | babbb=aaaaa⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a²ba² has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabbba^-1b⟩
- Anti-isomorphic embedding: φ(a) = a^-1, 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.	a⁵ ⇒ bab³	[1]
2.	abab³ ⇒ bab³a	[2]

# ab:babbb=aaaaa ba - -
aaaaa=babbb
ababbb=babbba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1662	⟨a, b \| aaabbbbba=b⟩	Can Inf