#1809 ⟨a, b, c | aba=ab, acb=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 d is not injective:
- d ⋅ a = d and d ⋅ 1 = d, however a ≠ 1
Not right cancellative, because right multiplication by cb is not injective:
- cba ⋅ cb = cb and 1 ⋅ cb = cb, however cba ≠ 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=ab,acb=1 adbc ab=d morph:2/1
ab=d
da=d
db=dd
acb=1
dcb=d