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

Vera López, Antonio, Arregi Lizarraga, Jesús María, and Vera López, Francisco José. "Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.." Collectanea Mathematica 41.3 (1990): 243-279. <http://eudml.org/doc/42396>.

@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 -