#2598 ⟨a, b, c | aba=b, aacc=1⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ac²a = a and a ⋅ 1 = a, however ac²a ≠ 1
Not right cancellative, because right multiplication by ac² is not injective:
- ac²a ⋅ ac² = ac² and 1 ⋅ ac² = ac², however ac²a ≠ 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

# abc:aba=b,aacc=1 abc - -
aba=b
bba=abb
bcc=aab
aacc=1
bacc=ab