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On finite minimal non-nilpotent groups
Author(s):
A.
Ballester-Bolinches;
R.
Esteban-Romero;
Derek
J. S.
Robinson
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3455-3462.
MSC (2000):
Primary 20D10
Posted:
June 8, 2005
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Abstract:
A critical group for a class of groups  is a minimal non-  -group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol'fand's theorem on maximal Schmidt groups.
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Additional Information:
A.
Ballester-Bolinches
Affiliation:
Departament d'Àlgebra, Universitat de València, Dr. Moliner, 50, E-46100 Burjassot, València, Spain
Email:
Adolfo.Ballester@uv.es
R.
Esteban-Romero
Affiliation:
Departament de Matemàtica Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, E-46022 València, Spain
Email:
resteban@mat.upv.es
Derek
J. S.
Robinson
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801
Email:
robinson@math.uiuc.edu
DOI:
10.1090/S0002-9939-05-07996-7
PII:
S 0002-9939(05)07996-7
Received by editor(s):
December 12, 2003
Received by editor(s) in revised form:
July 16, 2004
Posted:
June 8, 2005
Additional Notes:
This work was supported by Proyecto BFM2001-1667-C03-03 (MCyT) and FEDER (European Union)
Communicated by:
Jonathan I. Hall
Copyright of article:
Copyright
2005,
American Mathematical Society
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