TY - JOUR
T1 - Generalized small cancellation presentations for automatic groups
AU - Gilman, Robert H.
N1 - Publisher Copyright:
© 2014 by De Gruyter.
PY - 2014/11/1
Y1 - 2014/11/1
N2 - By a result of Gersten and Short finite presentations satisfying the usual non-metric small cancellation conditions present biautomatic groups. We show that in the case in which all pieces have length 1, a generalization of the C(3)-T(6) condition yields a larger collection of biautomatic groups.
AB - By a result of Gersten and Short finite presentations satisfying the usual non-metric small cancellation conditions present biautomatic groups. We show that in the case in which all pieces have length 1, a generalization of the C(3)-T(6) condition yields a larger collection of biautomatic groups.
KW - automatic group
KW - pregroup
KW - Small cancellation
UR - http://www.scopus.com/inward/record.url?scp=84922061731&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84922061731&partnerID=8YFLogxK
U2 - 10.1515/gcc-2014-0007
DO - 10.1515/gcc-2014-0007
M3 - Article
AN - SCOPUS:84922061731
SN - 1867-1144
VL - 6
SP - 93
EP - 101
JO - Groups, Complexity, Cryptology
JF - Groups, Complexity, Cryptology
IS - 2
ER -