On Transitive p-Groups of Degree at Most p to power 3

The problem of classifying groups is usually a difficult task. In this text, we have successfully classified transitive p-groups of degree at most p to power 3 whose centre is elementary Abelian of rank 2 and also a more general case of transitive p-groups of degree at most p to power 3 whose centre is not elementary Abelian of rank 2. In our work, p is an arbitrary but fixed prime number which ranges between 2 to 5. The powers of p take values 2 or 3.

Autorentext

Elijah Apine obtained his Ph.D. in group theory in 2002. He has been lecturing at the Department of Mathematics, University of Jos since 1994. He is the author of several articles published in reputable international journals.