It’s Guy Fawkes Night now and I’ve had to update the seasonal banner yet again. There are a few late items of news I would like to mention:
Firstly, thanks go to everyone who has sent me feedback regarding MODA; I have been making amendments and intend to publish the final version in a few weeks’ time. As such, the Acknowledgements section is gradually inflating.
Finally, I leave you with this group theory problem I devised and later solved:
Suppose F is a subgroup of G, which is in turn a subgroup of H. If F is isomorphic to H, must G be necessarily isomorphic to F and H?
Clearly, the ‘Subgroup Sandwich’ statement is trivially true for finite groups. Does it remain true for infinite groups?