DIGITAL TOOLS IN THE TRAINING OF FUTURE PHD IN MATHEMATICS: A CASE STUDY OF GROUPS WITH RESTRICTIONS ON THE NORMS OF GIVEN SUBGROUP SYSTEMS
DOI:
https://doi.org/10.31110/2616-650X-vol12i3-004Keywords:
digital tools, VOSviewer, future PhDs in mathematics, norm of a group, generalized norm of a groupAbstract
An integral part of preparing a thesis by future PhDs is the analysis of scientific literature related to the research topic. This analysis results in determining the state of the research problem, identifying main trends, and leading directions of research, which are necessary to justify the relevance of the dissertation topic. Studying scientific and methodological findings, conducting analytical reviews of research studies, and theoretically comprehending the findings are significantly facilitated in the digital era provided that future PhDs use different digital tools. For the purpose of analyzing and systematizing scientific positions on the topic of future thesis in the system of preparing future PhDs in Mathematics in the course "Methodological Foundations of Scientific Research (on the topic of the thesis)", the use of Mathematics Genealogy Project and VOSviewer is envisaged. Mathematics Genealogy Project is proposed to compile the academic genealogy of researchers, which contributes to a deeper understanding of both the logic of the problem's development and the chronology of research. VOSviewer allows for cluster analysis of research results and visualization of the cluster network of keywords, aiming to form a comprehensive understanding of the current state of research on the problem and identify potential directions for further exploration. The article presents a case of using digital tools in study the state of the research of groups with restrictions on the norms of given subgroup systems.
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