#2320 ⟨a, b | abaabba=bbb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabbaba^-1b⟩
- Embedding: φ(a) = ab, φ(b) = a^-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.	aba²b²a ⇒ b³	[1]
2.	b⁴a²b²a ⇒ aba²b⁵	[2]

# ab:abaabba=bbb ab - -
abaabba=bbb
bbbbaabba=abaabbbbb

1 unique, 1 total

Σ	#	Presentation	Properties
10	1776	⟨a, b \| abaabbbba=b⟩	Can Inf