ISO27001 doesn't specifically ask for a Training Register, but you do need to be able to evidence that people have been trained, what they covered and when it was undertaken.
This structure clearly outlines what kind of comms you will provide. This is a strategic view of the awareness, education and training that is required by your business.
Training
Remember to always keep the audience in mind; This is probably the most important advice we can offer you when thinking about training. Try and use pictures, rather than words, and remember to keep training short (20 mins) so that people will stay engaged.
ISO27001 Training Register
Hey, we're not going to go all 'legal' on you here... that's not our style. But this is our Intellectual Property, and we'd prefer it if you didn't go sharing this with other people who haven't spent the money and bought a copy.
Of course, we can't really stop you... But are you that kind of person? We don't think you are. So if you want to tell people about your new found super power of ISO27001-Awesomeness, great... just don't give it away for free!