Browse > Article
http://dx.doi.org/10.4134/BKMS.b150719

ON FINITE BARELY NON-ABELIAN p-GROUPS  

Kang, Dong Seung (Department of Mathematical Education Dankook University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.5, 2016 , pp. 1395-1399 More about this Journal
Abstract
We will classify the finite barely non-abelian p-groups.
Keywords
minimal non-abelian groups; metacyclic; barely non-abelian groups; p-groups;
Citations & Related Records
연도 인용수 순위
  • Reference
1 N. Blackburn, On a special class of p-groups, Acta Math. 100 (1958), 45-92.   DOI
2 D.-S. Kang and Z. Reichstein, Trace forms of Galois field extensions in the presence of roots of unity, J. Reine Angew. Math. 549 (2002), 79-89.
3 L. Redei, Das schiefe Produkt in der Gruppentheorie, Comment. Math. Helv. 20 (1947), 225-267.   DOI
4 D. J. S. Robinson, A Course in the Theory of Groups, Second edition, Springer-Verlag, New York, 1996.
5 W. R. Scott, Group Theory, Dover Publications, Inc., 1987.
6 M. Xu, A theorem on metabelian p-groups and some consequences, Chinese Ann. Math. Ser. B 5 (1984), no. 1, 1-6.
7 M.-Y. Xu and Q. Zhang, A classification of metacyclic 2-groups, Algebra Colloq. 13 (2006), no. 1, 25-34.   DOI
8 Q. Zhang, X. Sun, L. An, and M. Xu, Finite p-groups all of whose subgroups of index p2 are abelian, Algebra Colloq. 15 (2008), no. 1, 167-180.   DOI