Geodesic
On supports of characters of the unitriangular group
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 28-34

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Let $G$ be a finite group and $\chi$ be its irreducible complex character. The set $\mathrm{Supp}(\chi)=\{g\in G\mid\chi(g)\neq0\}$ is called the support of $\chi$. Let $G=U$ be the unitriangular group (i.e., the group of unipotent triangular matrices) over a finite field of sufficiently large characteristic. In the paper we introduce the notion of $i$-regular character and describe the support of a $2$-regular character in terms of coefficients of minors of the characteristic matrix.
Keywords: the unitriangular group, the support of a character, $i$-regular characters. 
@article{VSGU_2009_8_a2,
     author = {M. V. Ignatyev},
     title = {On supports of characters of the unitriangular group},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {28--34},
     publisher = {mathdoc},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_8_a2/}
}
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M. V. Ignatyev. On supports of characters of the unitriangular group. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 28-34. http://geodesic.mathdoc.fr/item/VSGU_2009_8_a2/