Products of characters and finite p-groups II

Edith Adan-Bante

Products of characters and finite p-groups II

群论 2007-05-23 v1

作者: Edith Adan-Bante

摘要

Let p be a prime number. Let G be a finite p-group and $\chi \in Irr(G)$ . Denote by $\bar{\chi} \in Irr(G)$ the complex conjugate of $\chi$ . Assume that $\chi(1)=p^n$ . We show that the number of distinct irreducible constituents of the product $\chi\bar{\chi}$ is at least $2n(p-1)+1$ .

引用

@article{arxiv.math/0304401,
  title  = {Products of characters and finite p-groups II},
  author = {Edith Adan-Bante},
  journal= {arXiv preprint arXiv:math/0304401},
  year   = {2007}
}

备注

Submitted, 8 pages, see http://www.math.uiuc.edu/~adanbant

Products of characters and finite p-groups II

摘要

引用

备注

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