Geodesic
A Criterion for Non-Simplicity of Groups with Involutions
Algebra i logika, Tome 42 (2003) no. 2, pp. 227-236.

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

We settle Question 10.61, posed by A. Sozutov in the Kourovka Notebook, for the case where $|a|=4$.
Keywords: groups with involutions
Mots-clés : simple group. 
@article{AL_2003_42_2_a5,
     author = {A. M. Popov},
     title = {A {Criterion} for {Non-Simplicity} of {Groups} with {Involutions}},
     journal = {Algebra i logika},
     pages = {227--236},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_2_a5/}
}
TY  - JOUR
AU  - A. M. Popov
TI  - A Criterion for Non-Simplicity of Groups with Involutions
JO  - Algebra i logika
PY  - 2003
SP  - 227
EP  - 236
VL  - 42
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2003_42_2_a5/
LA  - ru
ID  - AL_2003_42_2_a5
ER  - 
%0 Journal Article
%A A. M. Popov
%T A Criterion for Non-Simplicity of Groups with Involutions
%J Algebra i logika
%D 2003
%P 227-236
%V 42
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2003_42_2_a5/
%G ru
%F AL_2003_42_2_a5
A. M. Popov. A Criterion for Non-Simplicity of Groups with Involutions. Algebra i logika, Tome 42 (2003) no. 2, pp. 227-236. http://geodesic.mathdoc.fr/item/AL_2003_42_2_a5/

[1] A. I. Sozutov, “O gruppakh s klassom frobeniusovo-abelevykh elementov”, Algebra i logika, 34:5 (1995), 531–549 | MR | Zbl

[2] A. I. Starostin, “O gruppakh Frobeniusa”, Ukr. matem. zh., 23:5 (1971), 629–639 | MR | Zbl

[3] V. P. Shunkov, “O nekotorom obobschenii teoremy Frobeniusa na periodicheskie gruppy”, Algebra i logika, 6:3 (1967), 113–124 | MR

[4] A. I. Sozutov, V. P. Shunkov, “Ob odnom obobschenii teoremy Frobeniusa na beskonechnye gruppy”, Matem. sb., 100:4 (1976), 495–506 | MR | Zbl

[5] V. P. Shunkov, “Ob odnom priznake neprostoty grupp”, Algebra i logika, 14:5 (1975), 491–522 | MR

[6] A. I. Sozutov, “O gruppakh s frobeniusovymi parami sopryazhennykh elementov”, Algebra i logika, 16:2 (1977), 204–212 | MR | Zbl

[7] A. I. Sozutov, V. P. Shunkov, “O beskonechnykh gruppakh, nasyschennykh frobeniusovymi podgruppami”, Algebra i logika, 16:6 (1977), 711–735 | MR | Zbl

[8] A. I. Sozutov, V. P. Shunkov, “O beskonechnykh gruppakh, nasyschennykh frobeniusovymi podgruppami. II”, Algebra i logika, 18:2 (1979), 206–223 | MR | Zbl

[9] V. P. Shunkov, $M_p$-gruppy, Nauka, M., 1990 | MR | Zbl

[10] Nereshennye voprosy teorii grupp. Kourovskaya tetrad, 10-e izd., In-t matem. SO AN SSSR, Novosibirsk, 1986

[11] A. M. Popov, Gruppy s konechnymi $H$-frobeniusovymi elementami, Tezisy IV Mezhd. algebr. konf., posvyasch. 60-letiyu prof. Yu. I. Merzlyakova (7–11 avgusta), Novosibirsk, 2000

[12] A. M. Popov, “O gruppakh s frobeniusovym elementom poryadka 4”, Trudy mezhdunar. konf. “Simmetriya i differentsialnye uravneniya”, Krasnoyarsk, 2000, 174–177