Sets of p-powers as conjugacy class sizes

被引:12
|
作者
Cossey, J [1 ]
Hawkes, T
机构
[1] Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
关键词
D O I
10.1090/S0002-9939-99-05138-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that any finite set of powers of a fixed prime p which includes 1 can be the set of conjugacy class sizes of a p-group of nilpotency class 2. This corresponds to a result of Isaacs for degrees of irreducible characters.
引用
收藏
页码:49 / 51
页数:3
相关论文
共 50 条
  • [31] Conjugacy class sizes and solvability of finite groups
    Jiang, Qinhui
    Shao, Changguo
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013, 123 (02): : 239 - 244
  • [32] CONJUGACY CLASS SIZES OF CERTAIN DIRECT PRODUCTS
    Casolo, Carlo
    Tombari, Elisa Maria
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 85 (02) : 217 - 231
  • [33] FINITE GROUPS WITH FOUR CONJUGACY CLASS SIZES
    Beltran, Antonio
    Jose Felipe, Maria
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (04) : 1260 - 1272
  • [34] Conjugacy class sizes and solvability of finite groups
    Qingjun Kong
    Monatshefte für Mathematik, 2012, 168 : 267 - 271
  • [35] FINITE p-SOLVABLE GROUPS WITH THREE p-REGULAR CONJUGACY CLASS SIZES
    Akhlaghi, Zeinab
    Beltran, Antonio
    Jose Felipe, Maria
    Khatami, Maryam
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2013, 56 (02) : 371 - 386
  • [36] Simplicity of normal subgroups and conjugacy class sizes
    Antonio Beltrán
    María José Felipe
    Monatshefte für Mathematik, 2014, 175 : 485 - 490
  • [37] A note on conjugacy class sizes of finite groups
    Kong, Q.
    MATHEMATICAL NOTES, 2009, 86 (3-4) : 440 - 441
  • [38] Conjugacy class sizes and solvability of finite groups
    Kong, Qingjun
    MONATSHEFTE FUR MATHEMATIK, 2012, 168 (02): : 267 - 271
  • [39] Simplicity of normal subgroups and conjugacy class sizes
    Beltran, Antonio
    Jose Felipe, Maria
    MONATSHEFTE FUR MATHEMATIK, 2014, 175 (04): : 485 - 490
  • [40] Multiplicities of conjugacy class sizes of finite groups
    Hung Ngoc Nguyen
    JOURNAL OF ALGEBRA, 2011, 341 (01) : 250 - 255