@article{article_1726569, title={Isoclinism and Stem Structures of 2-Groups}, journal={Journal of New Theory}, pages={9–26}, year={2025}, DOI={10.53570/jnt.1726569}, author={Şahan, Tunçar and Soyyiğit, Onur}, keywords={Isoclinism, 2-groups, crossed modules}, abstract={This study investigates the concept of isoclinism in the category of 2-groups by extending classical group-theoretic notions to higher categorical structures. Building on the categorical equivalence between crossed modules and 2-groups, the paper characterizes isoclinism for 2-groups through commutator maps and explores its key properties. Notably, it demonstrates that isoclinism forms an equivalence relation in the category of 2-groups, similar to the group and crossed module contexts. The paper further proves that every 2-group is isoclinic to a stem 2-group and establishes that isoclinism between 2-groups implies the corresponding isoclinism between their associated crossed modules. These results contribute to the broader understanding of homotopy-theoretic and categorical classifications within algebraic topology and category theory.}, number={52}, publisher={Naim ÇAĞMAN}