- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:58
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
1
2007
4
Complements of the socle in monolithic groups
Andrea
Lucchini
Università di Padova, PADOVA, ITALY
Federico
Menegazzo
Università di Padova, PADOVA, ITALY
Marta
Morigi
Università di Bologna, BOLOGNA, ITALY
Monolithic groups, complements, finite simple groups
We show that if H is a finite group with a unique minimal normal subgroup N, which is not abelian, then the number of conjugacy classes of complements of N in H is strictly smaller than |N|.
Group theory and generalizations
General
585
611
10.4171/GGD/25
http://www.ems-ph.org/doi/10.4171/GGD/25