Search on "double glue", "glue rivets", and "through the wall". I can't quite see what happened from the picture alone, but proper surface preparation and gluing techniques will make a joint that's stronger than the paper and wood that are held by it.
Sand the tube where the fins will attach, and rough up the fin root edge. If you sand a curve or a bevel on your fin edges, be sure to exclude the root edge. To get even better contact, the tube can be temporarily wrapped with sandpaper, and the fin root edges can be briefly sanded against that. Apply good yellow wood glue thinly to both surfaces, and let it dry or nearly so. Then go back, apply another layer of wood glue to one surface (usually the fin is a better choice here), and stick the fins on one at a time, holding them straight until they grip. Small pinholes can be made along the tube where the fin will attach and/or under the fillet area. This allows the glue to fill in the hole like a tiny rivet, greatly increasing the joint strength. In mid-power and up, the fins are often made with tabs that fit into slots in the body tube for a lot of extra strength. Sometimes the tabs go all the way to the motor mount tube, which is stronger yet. Be sure to apply good glue fillets. With yellow glue, you'll want several layers. Fillets can be made all of glue or covered with sandable material for a nicer curve and finish. If your fins go through the tube, be sure to fillet the inside joints too. Reinforcing tissue or lightweight fiberglass can be glued into the joint, overlapping both the fin and the tube as another way to reinforce the joint. In through the wall (TTW), this can be applied to the inside joint for similar strength and better looks.