#1776 ⟨a, b | abaabbbba=b⟩

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⟩
- 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.	aba²b⁵ ⇒ b²a²b⁴a	[2]
2.	aba²b⁴a ⇒ b	[1]

# ab:abaabbbba=b ba - -
abaabbbbb=bbaabbbba
abaabbbba=b

1 unique, 1 total

Σ	#	Presentation	Properties
10	2320	⟨a, b \| abaabba=bbb⟩	Can Inf