349 KB30 KB200820252015Somlai, Gáborštevilka:2letnik:8str. 433-444COBISSID:17380185ISSN:1855-3966URN:URN:NBN:SI:doc-YC1E9TVNenUniverza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologijeArs mathematica contemporaneaCayley graphsCayleyevi grafiCI-groupsCI-grupeThe Cayley isomorphism property for groups of order 8p|For every prime ?$p > 3$? we prove that ?$Q \times \mathbb{Z}_p$? is a DCI-group, where ?$Q$? denotes the quaternion group of order 8. Using the same method we reprove the fact that ?$\mathbb{Z}_2^3 \times \mathbb{Z}_p$? is a CI-group for every prime ?$p > 3$?, which was obtained in E. Dobson, P. Spiga, CI-groups with respect to ternary relational structures: new examples, Ars Math. Contemp. 6 (2012), 351-364.. This result completes the description of CI-groups of order ?$8p$?Za vsako praštevilo ?$p > 3$? pokažemo, da je ?$Q \times \mathbb{Z}_p$? DCI-grupa (?$Q$? je kvaternionska grupa reda 8). Z uporabo iste metode ponovno dokažemo rezultat iz E. Dobson, P. Spiga, CI-groups with respect to ternary relational structures: new examples, Ars Math. Contemp. 6 (2012), 351-364., da je ?$\mathbb{Z}_2^3 \times \mathbb{Z}_p$? CI-grupa za vsako praštevilo ?$p > 3$?. S tem rezultatom je zaključen opis CI-grup reda ?$8p$?TEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije