Geodesic
Complements of the socle in monolithic groups
Andrea Lucchini1 ; Federico Menegazzo1 ; Marta Morigi2
1Università di Padova, Italy
2Università di Bologna, Italy
Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 585-611

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DOI

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|.
DOI : 10.4171/ggd/25
Classification : 20-XX, 00-XX
Mots-clés : Monolithic groups, complements, finite simple groups

Andrea Lucchini  1   ; Federico Menegazzo  1   ; Marta Morigi  2

1 Università di Padova, Italy
2 Università di Bologna, Italy 
Andrea Lucchini; Federico Menegazzo; Marta Morigi. Complements of the socle in monolithic groups. Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 585-611. doi: 10.4171/ggd/25
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