Geodesic
Character Codegrees of Maximal Class $p$-groups
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 328-334

Voir la notice de l'article provenant de la source Cambridge

DOI

Let $G$ be a $p$-group and let $\unicode[STIX]{x1D712}$ be an irreducible character of $G$. The codegree of $\unicode[STIX]{x1D712}$ is given by $|G:\,\text{ker}(\unicode[STIX]{x1D712})|/\unicode[STIX]{x1D712}(1)$. If $G$ is a maximal class $p$-group that is normally monomial or has at most three character degrees, then the codegrees of $G$ are consecutive powers of $p$. If $|G|=p^{n}$ and $G$ has consecutive $p$-power codegrees up to $p^{n-1}$, then the nilpotence class of $G$ is at most 2 or $G$ has maximal class.
DOI : 10.4153/S0008439519000353
Mots-clés : codegree, p-group, maximal class 
Croome, Sarah; Lewis, Mark L. Character Codegrees of Maximal Class $p$-groups. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 328-334. doi: 10.4153/S0008439519000353
@article{10_4153_S0008439519000353,
     author = {Croome, Sarah and Lewis, Mark L.},
     title = {Character {Codegrees} of {Maximal} {Class} $p$-groups},
     journal = {Canadian mathematical bulletin},
     pages = {328--334},
     year = {2020},
     volume = {63},
     number = {2},
     doi = {10.4153/S0008439519000353},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000353/}
}
TY  - JOUR
AU  - Croome, Sarah
AU  - Lewis, Mark L.
TI  - Character Codegrees of Maximal Class $p$-groups
JO  - Canadian mathematical bulletin
PY  - 2020
SP  - 328
EP  - 334
VL  - 63
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000353/
DO  - 10.4153/S0008439519000353
ID  - 10_4153_S0008439519000353
ER  - 
%0 Journal Article
%A Croome, Sarah
%A Lewis, Mark L.
%T Character Codegrees of Maximal Class $p$-groups
%J Canadian mathematical bulletin
%D 2020
%P 328-334
%V 63
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000353/
%R 10.4153/S0008439519000353
%F 10_4153_S0008439519000353

Cité par Sources :