#2595 ⟨a, b, c | aba=b, aabc=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 ⋅ abca = a and a ⋅ 1 = a, however abca ≠ 1
Not right cancellative, because right multiplication by abc is not injective:
- abca ⋅ abc = abc and 1 ⋅ abc = abc, however abca ≠ 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,aabc=1 abc - -
aba=b
bba=abb
bbc=aab
aabc=1
babc=ab