Minimal characters of p-groups

Journal of Group Theory

Volumn 2, Issue 3, 1999, Pages 225-250

  Mann, Avinoam ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033420829     PISSN: 14335883     EISSN: None     Source Type: Journal    
DOI: 10.1515/jgth.1999.016     Document Type: Article

References (26)

1. W. Bannuscher. Über Gruppen mit genau zwei irreduziblen Charaktergraden I, II. Math. Nach. 154 (1991), 253-263.
2. Ya. G. Berkovich and E. M. Zhmud'. Characters of finite groups. Part 1 (American Mathematical Society, 1998).
3. N. Blackburn. On a special class of p-groups. Acta Math. 100 (1958), 45-92.
4. S. R. Blackburn. Enumeration within isoclinism classes of groups of prime power order. J. London Math. Soc. (2) 50 (1994), 293-304.
5. R. Brandl. The Dilworth number of subgroup lattices. Arch. Math. (Basel) 50 (1988), 502-510.
6. R. Dark and C. M. Scoppola. On Camina groups of prime power order. J. Algebra 181 (1996), 787-802.
7. L. Di Martino and M. C. Tamburini. Some remarks on the degrees of faithful irreducible representations of finite p-groups. Geom. Dedicata 41 (1992), 155-164.
8. G. A. Fernández-Alcober and R. T. Shepherd. On the order of p-groups of abundance zero. J. Algebra 201 (1998), 392-400.
9. n, n ≤ 6. (Macmillan, 1964).
10. P. Hall. The classification of prime-power groups. J. Reine Angew. Math. 182 (1940), 130-141.
11. H. Heineken. Gruppen mit kleinen abelschen Untergruppen. Arch. Math. (Basel) 29 (1977), 20-31.
12. B. Huppert. Endliche Gruppen (Springer-Verlag, 1967).
13. I. M. Isaacs. Character theory of finite groups (Academic Press, 1976).
14. I. M. Isaacs and D. Passman. A characterization of groups in terms of the degrees of their characters. Pacific J. Math. 15 (1965), 877-903.
15. I. M. Isaacs and D. Passman. A characterization of groups in terms of the degrees of their characters, II. Pacific J. Math. 24 (1968), 467-510.
16. L. G. Kovacs and C. R. Leedham-Green. Some normally monomial p-groups of maximal class and large derived length. Quart. J. Math. Oxford Ser. (2) 37 (1986), 49-54.
17. P. Longobardi, M. Maj and A. Mann. Minimal classes and maximal class in p-groups. Israel J. Math., to appear.
18. A. Mann. Conjugacy classes in finite groups. Israel J. Math. 31 (1978), 78-84.
19. A. Mann. Some finite groups with large groups with large conjugacy classes. Israel J. Math. 71 (1990), 55-63.
20. I. D. Macdonald. Some p-groups of Frobenius and extraspecial types. Israel J. Math. 40 (1981), 350-364.
21. A. Mann and C. M. Scoppola. On p-groups of Frobenius type. Arch. Math. (Basel) 56 (1991), 320-332.
22. G. Pazderski. Finite p-groups and their conjugacy classes. Lecture presented in Oberwolfach on 27 April, 1992.
23. J. Poland. Two problems on finite groups with k conjugate classes. J. Austral. Math. Soc. 8 (1968), 49-55.
24. B. Rothe. Konjugiertenklassen in Gruppen von Primzahlpotenzordnung. Diplomarbeit. RWTH Aachen (1994).
25. P. M. Weichsel. On isoclinism. J. London Math. Soc. 38 (1963), 63-65.
26. I. O. York. The group of formal power series under substitution. Ph.D. thesis. University of Nottingham (1990).