@article{SM_1987_58_1_a6,
author = {E. I. Khukhro},
title = {On locally nilpotent groups admitting a splitting automorphism of prime order},
journal = {Sbornik. Mathematics},
pages = {119--126},
year = {1987},
volume = {58},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1987_58_1_a6/}
}
E. I. Khukhro. On locally nilpotent groups admitting a splitting automorphism of prime order. Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 119-126. http://geodesic.mathdoc.fr/item/SM_1987_58_1_a6/
[1] Higman G., “Groups and rings which have automorphisms without nontrivial fixed elements”, J. London Math. Soc., 32 (1957), 321–334 | DOI | MR | Zbl
[2] Kreknin V. A., “O razreshimosti algebr Li s regulyarnym avtomorfizmom konechnogo perioda”, DAN SSSR, 150:3 (1963), 467–469 | MR | Zbl
[3] Kreknin V. A., Kostrikin A. I., “Ob algebrakh Li s regulyarnym avtomorfizmom”, DAN SSSR, 149:2 (1963), 249–251 | MR | Zbl
[4] Kostrikin A. I., “O probleme Bernsaida”, Izv. AN SSSR. Ser. matem., 23:1 (1959), 3–34 | MR
[5] Razmyslov Yu. P., “Ob engelevykh algebrakh Li”, Algebra i logika, 10:1 (1971), 33–44 | MR | Zbl
[6] Busarkin V. M., Gorchakov Yu. M., Konechnye rasscheplyaemye gruppy, Nauka, M., 1968 | MR
[7] Thompson J. G., “Finite groups with fixed point free automorphisms of prime order”, Proc. Nat. Acad. Sci. USA, 45 (1959), 578–581 | DOI | MR | Zbl
[8] Hughes D. R., Thompson J. G., “The $H$-problem and the structure of $H$-groups”, Pacific J. Math., 9 (1959), 1097–1101 | MR | Zbl
[9] Kegel O. H., “Die Nilpotenz der $H_p$-Gruppen”, Math. Z., 75 (1961), 373–376 | DOI | MR | Zbl
[10] Khukhro E. I., “Nilpotentnost razreshimykh grupp, dopuskayuschikh rasscheplyayuschii avtomorfizm prostogo poryadka”, Algebra i logika, 19:1 (1980), 118–129 | MR | Zbl
[11] Khukhro E. I., “Razreshimaya gruppa, dopuskayuschaya rasscheplyayuschii regulyarnyi avtomorfizm prostogo poryadka, nilpotentna”, Algebra i logika, 17:5 (1978), 611–618 | MR | Zbl
[12] Magnus W., “A connection between the Baker–Hausdorff formula and a problem of Burnside”, Ann. Math., 52:22 (1950), 111–126 | DOI | MR | Zbl
[13] Sanov I. N., “Ustanovlenie svyazi mezhdu periodicheskimi gruppami s periodom, prostym chislom i koltsami Li”, Izv. AN SSSR. Ser. matem., 16 (1952), 23–58 | MR | Zbl
[14] Xyxpo E. I., “O svyazi mezhdu gipotezoi Khyuza i sootnosheniyami v konechnykh gruppakh prostogo perioda”, Matem. sb., 116(158):2(10) (1981), 253–264 | MR | Zbl
[15] Wall G. E., On the Lie ring of a group of prime exponent, Proc. Second Int. Conf. Theory of Groups (Canberra, 1973), Lecture Notes in Math. No 372, Springer, Berlin–London, 1974, p. 667–690 | MR
[16] Alperin J., “Automorphisms of solvable groups”, Proc. Amer. Math. Soc., 13:2 (1962), 175–180 | DOI | MR | Zbl
[17] Xyxpo E. I., “Konechnye $p$-gruppy, dopuskayuschie avtomorfizm poryadka $p$ s malym chislom nepodvizhnykh tochek”, Tez. 9-go Vsesoyuzn. simpoz. po teorii grupp, M., 1984, 129–130
[18] Kostrikin A. I., “O svyazi mezhdu periodicheskimi gruppami i koltsami Li”, Izv. AN SSSR. Ser. matem., 21:3 (1957), 289–310 | MR