Minimal classes and maximal class in p-groups

Israel Journal of Mathematics

Volumn 110, Issue , 1999, Pages 93-102

  Longobardi, Patrizia ^a   Maj, Mercede ^b   Mann, Avinoam ^c  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF SALERNO   (Italy)

^c HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040531577     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02808177     Document Type: Article

References (18)

1. N. Blackburn, On a special class of p-groups, Acta Mathematica 100 (1958), 45-92.
2. R. Brandl, The Dilworth number of subgroup lattices, Archiv der Mathematik (Basel) 50 (1988), 502-510.
3. G. A. Fernández-Alcober, The exact lower bound for the degree of commutativity of a p-group of maximal class, Journal of Algebra 174 (1995), 523-530.
4. G. A. Fernández-Alcober and R. T. Shepherd, On the order of p-groups of abundance zero, Journal of Algebra 201 (1998), 392-400.
5. B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin, 1967.
6. L. G. Kovacs and C. R. Leedham-Green, Some normally monomial p-groups of maximal class and large derived length, The Quarterly Journal of Mathematics. Oxford. Second Series 37 (1986), 49-54.
7. I. D. Macdonald, Some p-groups of Frobenius and extraspecial type, Israel Journal of Mathematics 40 (1981), 350-364.
8. I. D. Macdonald, Finite p-groups with unique maximal classes, Proceedings of the Edinburgh Mathematical Society 26 (1983), 233-239.
9. A. Mann, Conjugacy classes in finite groups, Israel Journal of Mathematics 31 (1978), 78-84.
10. A. Mann, Extreme elements of finite p-groups, Rendiconti del Seminario Matematico della Università di Padova 83 (1990), 45-54.
11. A. Mann, Minimal characters of p-groups, Journal of Group Theory, to appear.
12. B. A. Panfërov, Nilpotent groups with lower central factors of minimal ranks, Algebra i Logika 19 (1980), 701-706; English translation: Algebra and Logic 19 (1990), 455-459.
13. B. A. Panfërov, Nilpotent groups with lower central factors of minimal ranks, Algebra i Logika 19 (1980), 701-706; English translation: Algebra and Logic 19 (1990), 455-459.
14. J. Poland, Two problems on finite groups with k conjugate classes, Journal of the Australian Mathematical Society 8 (1968), 49-55.
15. B. Rothe, Konjugiertenklassen in Gruppen von Primzahlpotenzordnung, Diploma Thesis, RWTH Aachen, 1993.
16. A. Vera-López and G. A. Fernández-Alcober, On p-groups of maximal class II, Journal of Algebra 143 (1991), 179-207.
17. M. R. Vaughn-Lee and J. Wiegold, Generation of p-groups by elements of bounded breadth, Proceedings of the Edinburgh Mathematical Society 95A (1983), 215-221.
18. I. O. York, The group of formal power series under substitution, Ph.D. thesis, University of Nottingham, 1990.