#3808 ⟨a, b | abbaababba=b⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1abbab^-1⟩
- Anti-isomorphic embedding: φ(a) = ab, φ(b) = b^-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

Auxiliary generators:
1. c = babba
Reduction order:
- Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abbaababba=b ca/b babba=c morph:5/0
acacaacc=cacacaca
acacaacacc=ccaacacaca
acacaacacacc=ccacaacacaca
acacaacacaca=c
b=acacaac

1 unique, 6 total

Σ	#	Presentation	Properties	φ
11	3109	⟨a, b \| aabbaababba=1⟩	Grp Inf	5