Geodesic
Symplectic geometric and projective representations of finite Abelian groups
Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 1-16 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper one studies faithful projective representtions of finite Abelian groups over an algebraically closed field whose characteristic is not a divisor of the order of the group. Bibliography: 9 titles. 
@article{SM_1972_16_1_a0,
     author = {E. M. Zhmud'},
     title = {Symplectic geometric and projective representations of finite {Abelian} groups},
     journal = {Sbornik. Mathematics},
     pages = {1--16},
     year = {1972},
     volume = {16},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_16_1_a0/}
}
TY  - JOUR
AU  - E. M. Zhmud'
TI  - Symplectic geometric and projective representations of finite Abelian groups
JO  - Sbornik. Mathematics
PY  - 1972
SP  - 1
EP  - 16
VL  - 16
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1972_16_1_a0/
LA  - en
ID  - SM_1972_16_1_a0
ER  - 
%0 Journal Article
%A E. M. Zhmud'
%T Symplectic geometric and projective representations of finite Abelian groups
%J Sbornik. Mathematics
%D 1972
%P 1-16
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1972_16_1_a0/
%G en
%F SM_1972_16_1_a0
E. M. Zhmud'. Symplectic geometric and projective representations of finite Abelian groups. Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/SM_1972_16_1_a0/

[1] J. Schur, “Over die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen”, J. Reine Angew. Math., 127 (1904), 20–50 | Zbl

[2] J. Schur, “Untersuchungen iiber die Dorstellungen der endlichen Gruppen durch gebrochene lineare Substitutionen”, J. Reine Angew. Math., 132 (1907), 85–137 | Zbl

[3] K. Asano und K. Shoda, “Zur Theorie der Darstellungen einer endlichen Gruppe durch Kollineationen”, Gomposdtio Math., 2:2 (1935), 230–240 | MR

[4] Ch. Kertis, I. Rainer, Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, Moskva, 1969 | MR

[5] R. Frucht, “Uber die Darstellung endlicher abelscher Gruppen durch Kollineationen”, J. Reine Angew. Math., 166 (1932), 16–29

[6] R. Frucht, “Zur Darstellung eindlicher abelscher Gruppen durch Kollineationen”, Math. Z., 63:1–4 (1955), 145–155 | DOI | MR | Zbl

[7] E. Zhmud, “Ob izomorfnykh neprivodimykh proektivnykh predstavleniyakh konechnykh grupp”, Zapiski matem. otd. fiz.-matem. f-ta KhGU i Khark. matem. o-va, XXVI (1960), 333–372

[8] E. Zhmud, “Simplekticheekie geometrii na konechnykh abelevykh gruppakh”, Matem. sb., 86(128) (1971), 9–34

[9] K. Yamazaki, “On projective representations and ring extensions of finite groups”, J. Fac. Sci. Univ. Tokyo, 10 (1964), 147–195 | MR | Zbl