| n element c of a group G is said to be a self-centralizing element of G if the only elements of G which commute with c are the powers of c. Groups with self-centralizing elements have been studied for various classes of finite odd order p-groups by W. Kappe, Konvisser and Tiberio, while virtually nothing was known about the structure of finite 2-groups. This dissertation makes a contribution to the case of 2-groups as it investigates the two classes ;A 2-group G belongs to the class ;A key result, and a somewhat surprising one, is that the minimum number of generators for all groups in the class ;Not all groups in the class... |
