It looks like you are using something similar to C pointer notation and I guess you would like to remove an element pointed to by p from the list by doing "*(p-1).next = p+1". If so, note that pointer arithmetic is similar to using array index, that is, p-1 points to the element in memory prior to p and this is in general not the same as the element prior to p in the linked list.
In a single linked list where each element chain to the next, it is by definition not possible to find the element prior to an element directly from the element itself. You must maintain (or obtain by iteration from the head of the list) a pointer to the previous element separately and use that to unchain the element in question (with special care if the element to remove is the first element in the list).