Groups with relatively small normalizers of biprimary subgroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 3-13
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We completely describe groups whose any biprimary or nonprimary subgroup is such that the index of its product by the centralizer in its normalizer is divisable by some prime number (fixed for the given group). We give full description of these groups.
Mots-clés :
group
Keywords: subgroup, biprimary subgroup, nonprimary subgroup, centralizer, normalizer, index.
Keywords: subgroup, biprimary subgroup, nonprimary subgroup, centralizer, normalizer, index.
@article{IVM_2013_8_a0,
author = {V. A. Antonov and T. G. Nozhkina},
title = {Groups with relatively small normalizers of biprimary subgroups},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {3--13},
publisher = {mathdoc},
number = {8},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2013_8_a0/}
}
V. A. Antonov; T. G. Nozhkina. Groups with relatively small normalizers of biprimary subgroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2013), pp. 3-13. http://geodesic.mathdoc.fr/item/IVM_2013_8_a0/