On factorisable soluble groups

Saad Adnan

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 2, page 97-99
  • ISSN: 1120-6330

Abstract

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The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.

How to cite

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Adnan, Saad. "On factorisable soluble groups." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.2 (1990): 97-99. <http://eudml.org/doc/244208>.

@article{Adnan1990,
abstract = {The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.},
author = {Adnan, Saad},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Finite group; Soluble group; Factorisable group; factorized groups; finite soluble groups; product of subgroups},
language = {eng},
month = {5},
number = {2},
pages = {97-99},
publisher = {Accademia Nazionale dei Lincei},
title = {On factorisable soluble groups},
url = {http://eudml.org/doc/244208},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Adnan, Saad
TI - On factorisable soluble groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/5//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 2
SP - 97
EP - 99
AB - The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.
LA - eng
KW - Finite group; Soluble group; Factorisable group; factorized groups; finite soluble groups; product of subgroups
UR - http://eudml.org/doc/244208
ER -

References

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  1. CARR, J. G., A solubility criterion for factorised groups. Arch. Math., 27, 1976, 225-231. Zbl0297.20037MR417288
  2. GORENSTEIN, D. - WALTER, J. H., The characterisation of finite groups with dihedral Sylow 2-suhgroups I, II, III. J. Algebra, 2, 1965, 85-151, 218-270, 334-393. Zbl0192.11902
  3. GORENSTEIN, D., finite Groups. New York1968. Zbl0463.20012MR231903
  4. SCOTT, W. R., Group theory. Englewood Cliffs 1964. Zbl0126.04504MR167513

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