#2776 ⟨a, b | bbbbb=aaaaa⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabbbbb⟩
- 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.	b⁵ ⇒ a⁵	[1]
2.	ba⁵ ⇒ a⁵b	[2]

# ab:bbbbb=aaaaa ab - -
bbbbb=aaaaa
baaaaa=aaaaab

1 unique, 2 total

Σ	#	Presentation	Properties	φ
10	1336	⟨a, b \| aaaabbbbba=1⟩	Grp Inf	1