Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.

@article{VeraLópez1990,
abstract = {In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.},
author = {Vera López, Antonio, Arregi Lizarraga, Jesús María, Vera López, Francisco José},
journal = {Collectanea Mathematica},
keywords = {Teoría de grupos; Grupos finitos; Familias de subgrupos; Clases de conjugación; finite groups; number of conjugacy classes; socle},
language = {eng},
number = {3},
pages = {243-279},
title = {Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.},
url = {http://eudml.org/doc/42396},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Vera López, Antonio
AU - Arregi Lizarraga, Jesús María
AU - Vera López, Francisco José
TI - Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 3
SP - 243
EP - 279
AB - In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.
LA - eng
KW - Teoría de grupos; Grupos finitos; Familias de subgrupos; Clases de conjugación; finite groups; number of conjugacy classes; socle
UR - http://eudml.org/doc/42396
ER -