Fusions of character tables III: Fusions of cyclic groups and a generalisation of a condition of Camina

被引：0
作者：
Stephen P. Humphries
Brent L. Kerby
Kenneth W. Johnson
机构：
[1] Brigham Young University,Department of Mathematics
[2] Pennsylvania State University,Department of Mathematics
来源：
Israel Journal of Mathematics | 2010年 / 178卷
关键词：
Abelian Group; Normal Subgroup; Conjugacy Class; Cyclic Group; Irreducible Character;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we characterise finite groups whose character tables fuse from the character table of a cyclic group. We also show a connection with a generalisation of the Camina pair condition introduced by Camina in [Ca].
引用
收藏
页码：325 / 348
页数：23
相关论文
共 28 条
  • [1] Bannai E.(1991)Subschemes of some association schemes Journal of Algebra 144 167-188
  • [2] Camina A. R.(1978)Some conditions which almost characterize Frobenius groups Israel Journal of Mathematics 31 153-160
  • [3] Chillag D.(1988)Generalized Frobenius groups. II Israel Journal of Mathematics 62 269-282
  • [4] Mann A.(2006)Finite groups with many product conjugacy classes Israel Journal of Mathematics 154 29-49
  • [5] Scoppola C. M.(1983)Characters vanishing on all but two conjugacy classes Pacific Journal of Mathematics 109 363-385
  • [6] Dade E. C.(2008)Fusions of character tables and Schur rings of Abelian groups Communications in Algebra 36 1437-1460
  • [7] Yadav M. K.(2000)Weak Cayley tables Journal of the London Mathematical Society 61 395-411
  • [8] Gagola S. M.(1989)Characters of finite quasigroups. III. Quotients and fusion European Journal of Combinatorics 10 47-56
  • [9] Humphries S. P.(1993)Sylow p-subgroups of solvable Camina pairs Journal of Algebra 156 395-406
  • [10] Johnson K. W.(1992)Homogeneous character induction Journal of Algebra 149 454-471
123