Glasnik matematički, Vol. 46 No. 1, 2011.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.46.1.11
Finite p-groups G with p>2 and d(G)>2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian
Zvonimir Janko
; Mathematical Institute, University of Heidelberg, 69120 Heidelberg, Germany
Sažetak
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5). The corresponding problem for p=2 was solved in [4] and for p>2 with d(G)=2 was solved in [5]. This gives a complete solution of the problem Nr. 861 of Y. Berkovich stated in [2].
Ključne riječi
Minimal nonabelian p-groups; A2-groups; metacyclic p-groups; Frattini subgroups; Hall-Petrescu formula; generators and relations; congruences mod p
Hrčak ID:
68885
URI
Datum izdavanja:
13.6.2011.
Posjeta: 867 *