1. Dept. of Mathematics, E?tv?s University, Pázmány Péter sétány 1/C, 1117, Budapest, Hungary 2. Dept. of Mathematics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Rep.
Abstract:
A loopQ is said to be left conjugacy closed (LCC) if the left translations form a set of permutations that is closed under conjugation. This papers investigates those LCC loops where the group generated by left translations is normal in the group generated by both left and right translations.