<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">R.D. {Gray}</style></author><author><style face="normal" font="default" size="100%">Malheiro, A.</style></author><author><style face="normal" font="default" size="100%">S.J. {Pride}</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Homotopy bases and finite derivation type for Schützenberger groups of monoids.</style></title><secondary-title><style face="normal" font="default" size="100%">J. Symb. Comput.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://dx.doi.org/10.1016/j.jsc.2012.05.006</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Elsevier (Academic Press), London</style></publisher><volume><style face="normal" font="default" size="100%">50</style></volume><pages><style face="normal" font="default" size="100%">50–78</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Given a finitely presented monoid and a homotopy base for the monoid, and given an arbitrary Schutzenberger group of the monoid, the main result of this paper gives a homotopy base, and presentation, for the Schutzenberger group. In the case that the R-class R' of the Schutzenberger group G(H) has only finitely many H-classes, and there is an element s of the multiplicative right pointwise stabilizer of H, such that under the left action of the monoid on its R-classes the intersection of the orbit of the R-class of s with the inverse orbit of R' is finite, then finiteness of the presentation and of the homotopy base is preserved. &lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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