Geodesic
Automorphism groups and endomorphism semigroups of groups~$B(m,n)$
Algebra i logika, Tome 54 (2015) no. 1, pp. 85-91.

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

@article{AL_2015_54_1_a5,
     author = {V. S. Atabekyan},
     title = {Automorphism groups and endomorphism semigroups of groups~$B(m,n)$},
     journal = {Algebra i logika},
     pages = {85--91},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2015_54_1_a5/}
}
TY  - JOUR
AU  - V. S. Atabekyan
TI  - Automorphism groups and endomorphism semigroups of groups~$B(m,n)$
JO  - Algebra i logika
PY  - 2015
SP  - 85
EP  - 91
VL  - 54
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2015_54_1_a5/
LA  - ru
ID  - AL_2015_54_1_a5
ER  - 
%0 Journal Article
%A V. S. Atabekyan
%T Automorphism groups and endomorphism semigroups of groups~$B(m,n)$
%J Algebra i logika
%D 2015
%P 85-91
%V 54
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2015_54_1_a5/
%G ru
%F AL_2015_54_1_a5
V. S. Atabekyan. Automorphism groups and endomorphism semigroups of groups~$B(m,n)$. Algebra i logika, Tome 54 (2015) no. 1, pp. 85-91. http://geodesic.mathdoc.fr/item/AL_2015_54_1_a5/

[1] S. I. Adyan, Problema Bernsaida i tozhdestva v gruppakh, Nauka, M., 1975 | MR

[2] V. S. Atabekyan, “O podgruppakh svobodnykh bernsaidovykh grupp nechetnogo perioda $n\ge1003$”, Izv. RAN. Ser. matem., 73:5 (2009), 3–36 | DOI | MR | Zbl

[3] Nereshënnye voprosy teorii grupp, Kourovskaya tetrad, 18-e izd., In-t matem. SO RAN, Novosibirsk, 2014 http://www.math.nsc.ru/~alglog/18kt.pdf

[4] V. S. Atabekyan, “O normalnykh podgruppakh v periodicheskikh proizvedeniyakh S. I. Adyana”, Algoritmicheskie voprosy algebry i logiki, Tr. MIAN, 274, MAIK, M., 2011, 15–31 | MR

[5] S. I. Adyan, “O prostote periodicheskikh proizvedenii grupp”, Doklady AN SSSR, 241:4 (1978), 745–748 | MR | Zbl

[6] A. Yu. Olshanskii, “Gruppy ogranichennogo perioda s podgruppami prostykh poryadkov”, Algebra i logika, 21:5 (1982), 553–618 | MR

[7] V. C. Atabekyan, S. V. Ivanov, Dva zamechaniya o gruppakh ogranichennogo perioda, Dep. v VINITI 30.03.1987, No 2243-V87

[8] S. I. Adyan, I. G. Lysenok, “O gruppakh, vse sobstvennye podgruppy kotorykh konechnye tsiklicheskie”, Izv. AN SSSR. Ser. matem., 55:5 (1991), 933–990 | MR | Zbl

[9] V. S. Atabekyan, “O periodicheskikh gruppakh nechetnogo perioda $n\ge1003$”, Matem. zametki, 82:4 (2007), 495–500 | DOI | MR | Zbl

[10] A. Yu. Ol'shanskii, “Self-normalization of free subgroups in the free Burnside groups”, Groups, rings, Lie and Hopf algebras, Based on the international workshop (St. John's, Canada, May 28 – June 1, 2001), Math. Appl., Dordr., 555, ed. Yu. Bahturin, Kluwer Academic Publ., Dordrecht, 2003, 179–187 | MR | Zbl

[11] V. S. Atabekyan, “Normalizatory svobodnykh podgrupp svobodnykh bernsaidovykh grupp nechetnogo perioda $n\ge1003$”, Fundament. i prikl. matem., 15:1 (2009), 3–21 | MR

[12] E. A. Cherepanov, “Normal automorphisms of free Burnside groups of large odd exponents”, Int. J. Algebra Comput., 16:5 (2006), 839–847 | DOI | MR | Zbl

[13] V. S. Atabekyan, “Normalnye avtomorfizmy svobodnykh bernsaidovykh grupp”, Izv. RAN. Ser. matem., 75:2 (2011), 3–18 | DOI | MR | Zbl

[14] V. S. Atabekyan, “Rasscheplyayuschie avtomorfizmy svobodnykh bernsaidovykh grupp”, Matem. sb., 204:2 (2013), 31–38 | DOI | MR | Zbl

[15] V. S. Atabekyan, “Rasscheplyayuschie avtomorfizmy poryadka $p^k$ svobodnykh bernsaidovykh grupp – vnutrennie”, Matem. zametki, 95:5 (2014), 651–655 | DOI | MR | Zbl

[16] J. Dyer, E. Formanek, “The automorphism group of a free group is complete”, J. Lond. Math. Soc. II Ser., 11:2 (1975), 181–190 | DOI | MR | Zbl

[17] V. Tolstykh, “The automorphism tower of a free group”, J. Lond. Math. Soc. II Ser., 61:2 (2000), 423–440 | DOI | MR | Zbl

[18] V. S. Atabekyan, “The groups of automorphisms are complete for free Burnside groups of odd exponents $n\ge1003$”, Int. J. Algebra Comput., 23:6 (2013), 1485–1496 | DOI | MR | Zbl

[19] E. Formanek, “A question of B. Plotkin about the semigroup of endomorphisms of a free group”, Proc. Am. Math. Soc., 130:4 (2002), 935–937 | DOI | MR | Zbl