Resumen

Isomorphism is a difficult concept to understand for undergraduate students. However, Mathematics Education suggests that it is necessary to promote mathematical connections to foster its understanding. This paper presents some intra-mathematical connections on the classification of groups of prime order that emerged solving task, which were based on a historical and epistemological analysis of the concept of isomorphic groups. This research is a case study. An interview was used for data collection, and qualitative text analysis was performed. Fourteen connections associated with the concepts of group, subgroup, cyclic groups, isomorphism, isomorphic groups, and the Lagrange theorem were identified, involved in the classification of prime order groups. We concluded that the tasks designed with a historical foundation enhance a deep understanding from the connected appreciation of concepts, theorems, methods, and algorithms.