; Rochester Institute of Technology, Zagreb Campus, D.T. Gavrana 15, 10000 Zagreb , Croatia
Mario Osvin Pavčević
; Department of applied mathematics, Faculty of Electrical Engineering and Computing , University of Zagreb , 10 000 Zagreb, Croatia
APA 6th Edition Tabak, K. i Pavčević, M.O. (2016). CZ-groups. Glasnik matematički, 51 (2), 345-358. https://doi.org/10.3336/gm.51.2.05
MLA 8th Edition Tabak, Kristijan i Mario Osvin Pavčević. "CZ-groups." Glasnik matematički, vol. 51, br. 2, 2016, str. 345-358. https://doi.org/10.3336/gm.51.2.05. Citirano 06.12.2021.
Chicago 17th Edition Tabak, Kristijan i Mario Osvin Pavčević. "CZ-groups." Glasnik matematički 51, br. 2 (2016): 345-358. https://doi.org/10.3336/gm.51.2.05
Harvard Tabak, K., i Pavčević, M.O. (2016). 'CZ-groups', Glasnik matematički, 51(2), str. 345-358. https://doi.org/10.3336/gm.51.2.05
Vancouver Tabak K, Pavčević MO. CZ-groups. Glasnik matematički [Internet]. 2016 [pristupljeno 06.12.2021.];51(2):345-358. https://doi.org/10.3336/gm.51.2.05
IEEE K. Tabak i M.O. Pavčević, "CZ-groups", Glasnik matematički, vol.51, br. 2, str. 345-358, 2016. [Online]. https://doi.org/10.3336/gm.51.2.05
Sažetak We describe some aspects of the structure of nonabelian p-groups G for which every nonabelian subgroup has a trivial centralizer in G, i.e. only it's center. We call such groups CZ-groups. The problem of describing the structure of all CZ-groups was posted as one of the first research problems in the open problems list in Yakov Berkovich's book 'Groups of prime power order' Vol 1 (). Among other features of such groups, we prove that a minimal CZ-group must contain at least p5 elements. The structure of maximal abelian subgroups of these groups is described as well.