On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach

M. I. AlAli, et al. "On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach." Colloquium Mathematicae 115.2 (2009): 247-258. <http://eudml.org/doc/283961>.

@article{M2009,
abstract = {The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.},
author = {M. I. AlAli, Bilal Al-Hasanat, I. Sarayreh, M. Kasassbeh, M. Shatnawi, A. Neumann},
journal = {Colloquium Mathematicae},
keywords = {symmetric groups; alternating groups; injectors},
language = {eng},
number = {2},
pages = {247-258},
title = {On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach},
url = {http://eudml.org/doc/283961},
volume = {115},
year = {2009},
}

TY - JOUR
AU - M. I. AlAli
AU - Bilal Al-Hasanat
AU - I. Sarayreh
AU - M. Kasassbeh
AU - M. Shatnawi
AU - A. Neumann
TI - On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 2
SP - 247
EP - 258
AB - The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.
LA - eng
KW - symmetric groups; alternating groups; injectors
UR - http://eudml.org/doc/283961
ER -