Geodesic
On blocks of defect~$0$ in finite groups
Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 677-683

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $n\geqslant1$ be a given natural number. It is proved that a finite group $G$ has a $p$-block of defect $0$ if and only if for some $g\in G$ the number of solutions of the equation $g=[x_1,x_2]\dots[x_{2n-1},x_{2n}]$ is not divisible by $p$. A number of criteria for the existence of real characters of defect $0$ in $G$ is obtained. Bibliography: 6 titles. 
@article{IM2_1990_34_3_a7,
     author = {S. P. Strunkov},
     title = {On blocks of defect~$0$ in finite groups},
     journal = {Izvestiya. Mathematics },
     pages = {677--683},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a7/}
}
TY  - JOUR
AU  - S. P. Strunkov
TI  - On blocks of defect~$0$ in finite groups
JO  - Izvestiya. Mathematics 
PY  - 1990
SP  - 677
EP  - 683
VL  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a7/
LA  - en
ID  - IM2_1990_34_3_a7
ER  - 
%0 Journal Article
%A S. P. Strunkov
%T On blocks of defect~$0$ in finite groups
%J Izvestiya. Mathematics 
%D 1990
%P 677-683
%V 34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a7/
%G en
%F IM2_1990_34_3_a7
S. P. Strunkov. On blocks of defect~$0$ in finite groups. Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 677-683. http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a7/