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Simple group contain minimal simple groups.

Michael J. J. Barry, Michael B. Ward (1997)

Publicacions Matemàtiques

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.

Simple Groups and Möbius Planes of Even Order.

Judita Cofman (1971)

Mathematische Zeitschrift

Simple groups with prescribed local structure

Orazio Puglisi (2010)

Rendiconti del Seminario Matematico della Università di Padova

Simplicity of Neretin's group of spheromorphisms

Christophe Kapoudjian (1999)

Annales de l'institut Fourier

Denote by $𝒯_{n}$ , $n \geq 2$ , the regular tree whose vertices have valence $n + 1$ , $\partial 𝒯_{n}$ its boundary. Yu. A. Neretin has proposed a group $N_{n}$ of transformations of $\partial 𝒯_{n}$ , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that $N_{n}$ is generated by two groups: the group $Aut (𝒯_{n})$ of tree automorphisms, and a Higman-Thompson group $G_{n}$ . We prove the simplicity of $N_{n}$ and of a family of its subgroups.

Some groups whose reduced $C^{*}$ -algebra is simple

M. Bekka, M. Cowling, P. de La Harpe (1994)

Publications Mathématiques de l'IHÉS

Sylow 2-subgroups of simple groups

John G. Thompson (1966/1968)

Séminaire Bourbaki