A method for computing of group-subgroupoids of finite group-groupoids

In this paper we present an algorithm for finding of group-subgroupoids of a finite group-groupoid. Acknowledgments. The authors are very grateful to the reviewers for their comments and suggestions. References [1] R. Brown, Topology and Groupoids, BookSurge LLC, U.K., 2006. [2] R. Brown and C.B. Spencer, G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Kon. Nederl. Akad. Wet., 79 (1976), 296-302. [3] M. Degeratu, Gh. Ivan and M. Ivan, On the cyclic subgroupoids of a Brandt groupoid, Proceed. Int. Conf. Comp., Commun. Control (ICCCC 2006), Baile Felix-Oradea. Vol. I, Suppl. Issue (2006), 181 -186. [4] Gh. Ivan, Algebraic constructions of Brandt groupoids, Proceedings of the Algebra Symposium, ”BabeşBolyai” University, Cluj-Napoca, (2002), 69-90. [5] Gh. Ivan and G. Stoianov, The program BGroidAP2 for determination of all subgroupoids of a Brandt groupoid, Analele Univ. de Vest, Timişoara, Seria Mat.-Inf., 42, No 1 (2004), 93-118. [6] M. Ivan, Agebraic properties of G− groupoids, ArXiv: 1512.09012v1 [math.GR] 30 Dec 2015, p. 1-11. [7] K. Mackenzie, Lie Groupoids and Lie Algebroids in Differential Geometry, London Math. Soc., Lecture Notes Series, 124, Cambridge Univ.Press., 1987. Received 25 April 2017 1 West University of Timişoara, Department of Teaching Staff’s Training, Bd. V. Pârvan, no. 4, 300223, Timişoara, Romania 2 Department of Mathematics and Computer Science, University of Oradea, str. Universitatii nr. 1, 410087 Oradea, Romania E-mail address: 1 ivan@math.uvt.ro, 2 degeratum@yahoo.com 2010 Mathematics Subject Classification. 20L13, 68W10.