Robert Morse: On the capability of certain p-groups of nilpotency class 2
Date of publication: 19. 4. 2014
Algebra seminar
Sreda, 23. aprila 2014, ob 10. uri v Plemljevem seminarju, Jadranska 19/III, Ljubljana
A group G is capable if it is the central quotient of some
group H. That is, G is capable if it is isomorphic to H/Z(H). Given a
parametrized set of presentations of p-groups of class 2, we find
exact conditions on the parameters for those that are capable. This
set of presentations comes from joint work with L.-C. Kappe and H.
Heineken on determining the capable special p-groups of rank 2.