#3034 ⟨a, b, c | aba=b, acb=c⟩

Properties

Sum of relation sides is 8
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabbab^-1a^-1b⟩
- Embedding: φ(a) = ba, φ(b) = b^-1a^-1, φ(c) = 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

# abc:aba=b,acb=c bac - -
abb=bba
aba=b
abc=bcb
acb=c

1 unique, 1 total

Σ	#	Presentation	Properties
8	3471	⟨a, b, c \| ba=ac, bcb=c⟩	Can Inf