#3811 ⟨a, b | abbaabbbba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabbaaba^-1b⟩
- Anti-isomorphic embedding: φ(a) = b, φ(b) = a

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.	ab²a²b⁵ ⇒ b³a²b⁴a	[2]
2.	ab²a²b⁴a ⇒ b	[1]

# ab:abbaabbbba=b ba - -
abbaabbbbb=bbbaabbbba
abbaabbbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
11	4339	⟨a, b \| abbaabbba=bb⟩	Can Inf