On a certain class of 2-local subgroups in finite simple groups

Jurgen Bierbrauer

Displaying similar documents to “On a certain class of 2-local subgroups in finite simple groups”

Finite groups with a standard component of type $L_{3} (4)$ , - I

Cheng Kai-Nah, Dieter Held (1981)

Rendiconti del Seminario Matematico della Università di Padova

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On centralizers of involutions having a component of type $A_{6}$ and $A_{7}$

Franz J. Fritz (1975)

Rendiconti del Seminario Matematico della Università di Padova

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On the finite simple groups

Zvonimir Janko (1976-1977)

Séminaire Bourbaki

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On index preserving projectivities of finite groups

Federico Menegazzo (1974)

Rendiconti del Seminario Matematico della Università di Padova

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

Antonio Vera López, Jesús María Arregi Lizarraga, Francisco José Vera López (1990)

Collectanea Mathematica

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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.

On minimal logarithmic signatures of finite groups.

Lempken, Wolfgang, van Trung, Tran (2005)

Experimental Mathematics

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A block-theory-free characterization of $M_{24}$

D. Held, J. Hrabě de Angelis (1989)

Rendiconti del Seminario Matematico della Università di Padova

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Finite groups with primitive Sylow normalizers

A. D&amp;#039;Aniello, C. De Vivo, G. Giordano (2002)

Bollettino dell'Unione Matematica Italiana

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We prove that are primitive the finite groups whose normalizers of the Sylow subgroups are primitive. We classify the groups of such class, denoted by $N P$ , and we study the Schunck classes whose boundary is contained in $N P$ . We give also necessary and sufficient conditions in order that the projectors be subnormally embedded.

The situation of $S p_{4} (4) \cdot 2$ in the sporadic simple group He

Dieter Held (1988)

Rendiconti del Seminario Matematico della Università di Padova

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