#5338 ⟨a, b | abaabba=bbbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabbaba^-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 ⇒ b⁴	[1]
2.	b⁵a²b²a ⇒ aba²b⁶	[2]

# ab:abaabba=bbbb ab - -
abaabba=bbbb
bbbbbaabba=abaabbbbbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	3754	⟨a, b \| abaabbbbba=b⟩	Can Inf