hrcak mascot   Srce   HID

Izvorni znanstveni članak
https://doi.org/10.3336/gm.43.1.07

Minimal nonabelian and maximal subgroups of a finite p-group

Yakov Berkovich ; Department of Mathematics, University of Haifa

Puni tekst: engleski, pdf (154 KB) str. 97-109 preuzimanja: 712* citiraj
APA 6th Edition
Berkovich, Y. (2008). Minimal nonabelian and maximal subgroups of a finite p-group. Glasnik matematički, 43 (1), 97-109. https://doi.org/10.3336/gm.43.1.07
MLA 8th Edition
Berkovich, Yakov. "Minimal nonabelian and maximal subgroups of a finite p-group." Glasnik matematički, vol. 43, br. 1, 2008, str. 97-109. https://doi.org/10.3336/gm.43.1.07. Citirano 26.09.2021.
Chicago 17th Edition
Berkovich, Yakov. "Minimal nonabelian and maximal subgroups of a finite p-group." Glasnik matematički 43, br. 1 (2008): 97-109. https://doi.org/10.3336/gm.43.1.07
Harvard
Berkovich, Y. (2008). 'Minimal nonabelian and maximal subgroups of a finite p-group', Glasnik matematički, 43(1), str. 97-109. https://doi.org/10.3336/gm.43.1.07
Vancouver
Berkovich Y. Minimal nonabelian and maximal subgroups of a finite p-group. Glasnik matematički [Internet]. 2008 [pristupljeno 26.09.2021.];43(1):97-109. https://doi.org/10.3336/gm.43.1.07
IEEE
Y. Berkovich, "Minimal nonabelian and maximal subgroups of a finite p-group", Glasnik matematički, vol.43, br. 1, str. 97-109, 2008. [Online]. https://doi.org/10.3336/gm.43.1.07

Sažetak
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal class, are classified. For the main result of the papers by Cepulic and Pylavska, and Zhang, An and Xu, classifying the p-groups all of whose proper nonabelian subgroups are metacyclic, we offer a proof which is shorter and not so involved. In conclusion we study, in some detail, the p-groups containing an abelian maximal subgroup.

Ključne riječi
Metacyclic p-groups; p-groups of maximal class; minimal nonabelian p-groups; absolutely regular p-groups; abelian maximal subgroups; maximal abelian normal subgroups

Hrčak ID: 23534

URI
https://hrcak.srce.hr/23534

Posjeta: 946 *