Maximal class p-groups with large character degree gaps

被引：0
|
作者：
Michael C. Slattery
机构：
[1] Marquette University,
来源：
Archiv der Mathematik | 2015年 / 105卷
关键词：
-Groups; Character degrees; Maximal class; Primary 20C15; Secondary 20D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In Mann (More on normally monomial p-groups, 2015), he proves some bounds on the size of gaps between character degrees of maximal class p-groups. In this note we construct a family of examples that shows that one of these bounds is sharp.
引用
收藏
页码：501 / 507
页数：6
相关论文
共 50 条
  • [1] Maximal class p-groups with large character degree gaps
    Slattery, Michael C.
    [J]. ARCHIV DER MATHEMATIK, 2015, 105 (06) : 501 - 507
  • [2] Character Codegrees of Maximal Class p-groups
    Croome, Sarah
    Lewis, Mark L.
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2020, 63 (02): : 328 - 334
  • [3] On the degree of commutativity of p-groups of maximal class
    Vera-Lopez, A.
    Garcia-Sanchez, M. A.
    Arregi, J. M.
    Ormaetxea, L.
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (01) : 53 - 71
  • [4] On the degree of commutativity of p-groups of maximal class
    Vera-Lopez, A.
    Arregi, J. M.
    Jaikin-Zapirain, A.
    [J]. MATHEMATISCHE NACHRICHTEN, 2008, 281 (11) : 1638 - 1650
  • [5] Finite p-groups of maximal class with 'large' automorphism groups
    Dietrich, Heiko
    Eick, Bettina
    [J]. JOURNAL OF GROUP THEORY, 2017, 20 (02) : 227 - 256
  • [6] On p-groups of maximal class
    Jaikin-Zapirain, A.
    Vera-Lopez, A.
    [J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (04) : 471 - 493
  • [7] ON P-GROUPS OF MAXIMAL CLASS
    VERALOPEZ, A
    LARREA, B
    [J]. JOURNAL OF ALGEBRA, 1991, 137 (01) : 77 - 116
  • [8] On p-groups of maximal class as groups of automorphisms
    de Melo, Emerson
    [J]. JOURNAL OF ALGEBRA, 2015, 440 : 100 - 112
  • [9] p-groups of maximal class as automorphism groups
    Cutolo, G
    Smith, H
    Wiegold, J
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 2003, 47 (1-2) : 141 - 156
  • [10] REGULAR P-GROUPS AND GROUPS OF MAXIMAL CLASS
    MANN, A
    [J]. JOURNAL OF ALGEBRA, 1976, 42 (01) : 136 - 141
12345