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.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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 
@article{RSMUP_2019__141__9_0,
     author = {Wilde, Tom},
     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/}
}
TY  - JOUR
AU  - Wilde, Tom
TI  - Zeros of irreducible characters of metabelian $p$-groups
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2019
SP  - 9
EP  - 18
VL  - 141
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/12/
DO  - 10.4171/RSMUP/12
ID  - RSMUP_2019__141__9_0
ER  - 
%0 Journal Article
%A Wilde, Tom
%T Zeros of irreducible characters of metabelian $p$-groups
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2019
%P 9-18
%V 141
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/12/
%R 10.4171/RSMUP/12
%F RSMUP_2019__141__9_0
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/

Cité par Sources :