Geodesic
Periodic $\lambda$-rings and exponents of finite groups
Sbornik. Mathematics, Tome 188 (1997) no. 8, pp. 1183-1190

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

A $\lambda$-ring is said to be $n$-periodic if its Adams operators satisfy the relation $\psi^{i+n}=\psi^i$ for each $i$. The quotient by the radical of the free periodic $\lambda$-ring generated by one element is described. Using this description, the order of a finite group is shown to divide the group's exponent to the power equal to the dimension of an arbitrary faithful complex representation. 
@article{SM_1997_188_8_a4,
     author = {A. A. Davydov},
     title = {Periodic $\lambda$-rings and exponents of finite groups},
     journal = {Sbornik. Mathematics},
     pages = {1183--1190},
     publisher = {mathdoc},
     volume = {188},
     number = {8},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_8_a4/}
}
TY  - JOUR
AU  - A. A. Davydov
TI  - Periodic $\lambda$-rings and exponents of finite groups
JO  - Sbornik. Mathematics
PY  - 1997
SP  - 1183
EP  - 1190
VL  - 188
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1997_188_8_a4/
LA  - en
ID  - SM_1997_188_8_a4
ER  - 
%0 Journal Article
%A A. A. Davydov
%T Periodic $\lambda$-rings and exponents of finite groups
%J Sbornik. Mathematics
%D 1997
%P 1183-1190
%V 188
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1997_188_8_a4/
%G en
%F SM_1997_188_8_a4
A. A. Davydov. Periodic $\lambda$-rings and exponents of finite groups. Sbornik. Mathematics, Tome 188 (1997) no. 8, pp. 1183-1190. http://geodesic.mathdoc.fr/item/SM_1997_188_8_a4/