top
It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
Barry, Michael J. J., and Ward, Michael B.. "Simple group contain minimal simple groups.." Publicacions Matemàtiques 41.2 (1997): 411-415. <http://eudml.org/doc/41316>.
@article{Barry1997, abstract = {It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.}, author = {Barry, Michael J. J., Ward, Michael B.}, journal = {Publicacions Matemàtiques}, keywords = {Grupos finitos; Grupos no resolubles; groups of Lie type; finite simple groups; alternating groups; sporadic groups; minimal simple groups}, language = {eng}, number = {2}, pages = {411-415}, title = {Simple group contain minimal simple groups.}, url = {http://eudml.org/doc/41316}, volume = {41}, year = {1997}, }
TY - JOUR AU - Barry, Michael J. J. AU - Ward, Michael B. TI - Simple group contain minimal simple groups. JO - Publicacions Matemàtiques PY - 1997 VL - 41 IS - 2 SP - 411 EP - 415 AB - It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group. LA - eng KW - Grupos finitos; Grupos no resolubles; groups of Lie type; finite simple groups; alternating groups; sporadic groups; minimal simple groups UR - http://eudml.org/doc/41316 ER -