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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.