Geodesic
Total Character of a Group G with (G, Z(G)) as a Generalized Camina Pair
Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 392-402

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DOI

We investigate whether the total character of a finite group $G$ is a polynomial in a suitable irreducible character of $G$ . When $\left( G,\,Z\left( G \right) \right)$ is a generalized Camina pair, we show that the total character is a polynomial in a faithful irreducible character of $G$ if and only if $Z\left( G \right)$ is cyclic.
DOI : 10.4153/CMB-2015-074-5
Mots-clés : 20C15, finite groups, group characters, total characters 
Prajapati, S. K.; Sarma, R. Total Character of a Group G with (G, Z(G)) as a Generalized Camina Pair. Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 392-402. doi: 10.4153/CMB-2015-074-5
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     author = {Prajapati, S. K. and Sarma, R.},
     title = {Total {Character} of a {Group} {G} with {(G,} {Z(G))} as a {Generalized} {Camina} {Pair}},
     journal = {Canadian mathematical bulletin},
     pages = {392--402},
     year = {2016},
     volume = {59},
     number = {2},
     doi = {10.4153/CMB-2015-074-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-074-5/}
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