Pregled bibliografske jedinice broj: 286431
Structure of Finite p-groups with Given Subgroups
Structure of Finite p-groups with Given Subgroups // Contemporary mathematics - American Mathematical Society, 402 (2006), 13-93 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
Structure of Finite p-groups with Given Subgroups
Autori
Berkovich, Yakov ; Janko, Zvonimir
Izvornik
Contemporary mathematics - American Mathematical Society (0271-4132) 402
(2006);
13-93
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
p-groups; involution; metacyclic p-groups; quaternion-free 2-groups; modular p-groups
Sažetak
The following main results are proved: 1) Classification of p-groups all of whose subgroups of index p (square power)are abelian. 2) Classification of p-groups with 7 involutions. 3) New proofs of some Blackburn's results (classification of minimal nonmetacyclic p-groups, classification of p-groups of odd order without normal elementary abelian subgroup of order p (power 3)). 4) Proofs of some basic counting theorems based on the new enumeration principle. 5) New proof of Ward's theorem on quaternion-free 2-groups. 6) Corrected proof of Iwasawa's theorem on the structure of modular p-groups. Our proofs are completely elementary.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
