Zeros of irreducible characters of metabelian p-groups
Wilde, Tom1
1 London, UK
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 9-18.
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We show that if χ is an irreducible complex character of a metabelian p-group P, where p is an odd prime, and if x∈P satisfies χ(x)≠0, then the order of x divides $|P|\chi(1)^2.

Publié le :
DOI : 10.4171/RSMUP/12
Classification : 13, 00
Mots clés : Irreducible character, metabelian group, $p$-group
Wilde, Tom 1

1 London, UK 
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     title = {Zeros of irreducible characters of metabelian $p$-groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {9--18},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {141},
     year = {2019},
     doi = {10.4171/RSMUP/12},
     mrnumber = {3962818},
     zbl = {1472.20014},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/12/}
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Wilde, Tom. Zeros of irreducible characters of metabelian $p$-groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 9-18. doi : 10.4171/RSMUP/12. http://www.numdam.org/articles/10.4171/RSMUP/12/

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