Geodesic
INDUCTION OF CHARACTERS AND FINITE $p$-GROUPS
Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 491-502

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DOI

Let $G$ be a finite $p$-group, where $p$ is an odd prime number, $H$ a subgroup of $G$ and s$\theta\in \hbox{\rm Irr}(H)$ an irreducible character of $H$. Assume also that $|G:H|=p^2$. Then the character $\theta^G$ of $G$ induced by $\theta$ is either a multiple of an irreducible character of $G$, or has at least $\frac{p\,{+}\,1}{2}$ distinct irreducible constituents.
DOI : 10.1017/S0017089506003181
Mots-clés : 20C15 
ADAN-BANTE, EDITH. INDUCTION OF CHARACTERS AND FINITE $p$-GROUPS. Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 491-502. doi: 10.1017/S0017089506003181
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     author = {ADAN-BANTE, EDITH},
     title = {INDUCTION {OF} {CHARACTERS} {AND} {FINITE} $p${-GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {491--502},
     year = {2006},
     volume = {48},
     number = {3},
     doi = {10.1017/S0017089506003181},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003181/}
}
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