#4750 ⟨a, b | aabbbbba=bab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaabab^-1abb⟩
- Anti-isomorphic embedding: φ(a) = aabaaa, 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.	a²b⁵a ⇒ bab	[1]
2.	a²b⁶ab ⇒ (ba)²b⁵a	[2]

# ab:aabbbbba=bab ba - -
aabbbbba=bab
aabbbbbbab=bababbbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3704	⟨a, b \| abaaaaabba=b⟩	Can Inf