ZEROS OF BRAUER CHARACTERS
The authors obtain a sufficient condition to determine whether an element is a vanishing regular element of some Brauer character. More precisely, let G be a finite group and p be a fixed prime, and H = G′O^P′（G）; if g ∈ G^0 - H^0 with o（gH） coprime to the number of irreducible p-Brauer characters o...
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| Veröffentlicht in: | Acta mathematica scientia 2012-07, Vol.32 (4), p.1435-1440 |
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| container_title | Acta mathematica scientia |
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| creator | 王慧群 陈晓友 曾吉文 |
| description | The authors obtain a sufficient condition to determine whether an element is a vanishing regular element of some Brauer character. More precisely, let G be a finite group and p be a fixed prime, and H = G′O^P′（G）; if g ∈ G^0 - H^0 with o（gH） coprime to the number of irreducible p-Brauer characters of G, then there always exists a nonlinear irreducible p-Brauer character which vanishes on 9. The authors also show in this note that the sums of certain irreducible p-Brauer characters take the value zero on every element of G^0 - H^0. |
| doi_str_mv | 10.1016/S0252-9602(12)60112-X |
| format | Article |
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| ispartof | Acta mathematica scientia, 2012-07, Vol.32 (4), p.1435-1440 |
| issn | 0252-9602 1572-9087 |
| language | eng |
| recordid | cdi_wanfang_journals_sxwlxb_e201204014 |
| source | Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | 20C15 20C20 Brauer character vanishing regular element 不可约 元素 性状 有限群 特征 生长激素 零点 非线性 |
| title | ZEROS OF BRAUER CHARACTERS |
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