Factor morphisms and centroids of locally nilpotent groups
Algebra i logika, Tome 50 (2011) no. 1, pp. 42-67
Cet article a éte moissonné depuis la source Math-Net.Ru
For a class of locally nilpotent groups, we study interrelations between two known analogs of the concept of a ring centroid in the class of groups.
Keywords:
locally nilpotent group, ring centroid, factor morphism.
@article{AL_2011_50_1_a2,
author = {K. N. Ponomarev},
title = {Factor morphisms and centroids of locally nilpotent groups},
journal = {Algebra i logika},
pages = {42--67},
year = {2011},
volume = {50},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2011_50_1_a2/}
}
K. N. Ponomarev. Factor morphisms and centroids of locally nilpotent groups. Algebra i logika, Tome 50 (2011) no. 1, pp. 42-67. http://geodesic.mathdoc.fr/item/AL_2011_50_1_a2/
[1] K. N. Ponomarëv, Zhëstkie algebry i neassotsiativnye koltsa, izd-vo NGTU, Novosibirsk, 2007
[2] K. N. Ponomarëv, “Faktor-morfizmy nilpotentnykh grupp”, Sib. matem. zh., 32:3 (1991), 119–125 | MR | Zbl
[3] S. Lioutikov, A. Myasnikov, “Centroids of groups”, J. Group Theory, 3:2 (2000), 177–197 | DOI | MR | Zbl
[4] I. V. Arzhantsev, “Odnoznachnost slozheniya v poluprostykh algebrakh Li”, Uspekhi matem. n., 56:3(339) (2001), 155–156 | MR | Zbl
[5] G. Pilz, Near-rings. The theory and its applications, North-Holland Math. Stud., 23, North-Holland Publ. Co., Amsterdam–New York–Oxford, 1977 | MR | Zbl
[6] M. I. Kargapolov, Yu. I. Merzlyakov, Osnovy teorii grupp, Nauka, M., 1977 | MR | Zbl