Embeddings of finite Chevalley groups and periodic linear groups

DOI10.1007/BF00970309zbMath0551.20026OpenAlexW2084521678MaRDI QIDQ801159

Alexandre V. Borovik

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970309

zbMATH Keywords

finite linear groupsChevally groupsimple periodic linear groupunion of finite simple groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Simple groups (20E32)

Related Items

Periodic groups saturated with finite simple groups of types \(U_3\) and \(L_3\), Centralizers of semisimple subgroups in locally finite simple groups, Periodic groups saturated with finite simple groups \(L_4(q)\), Unnamed Item, Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic, Centralizers of finite nilpotent subgroups in locally finite groups, 2-rank two periodic groups saturated with finite simple groups, On the periodic groups saturated with finite simple groups of Lie type \(B_3\), Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups, On locally finite groups with a small centralizer of a four-subgroup., Infinite locally finite simple groups with nontrivial kernel of the centralizer of an elementary Abelian 2-subgroup, Simple \(L^*\)-groups of even type with strongly embedded subgroups., On characterization of simple orthogonal groups of odd dimension in the class of periodic groups, On the periodic groups saturated by direct products of finite simple groups. II., Characterization of locally finite simple groups of the type \(^3D_4\) over fields of odd characteristic in the class of periodic groups, Centralizers of involutions in locally finite-simple groups., Locally finite groups and their subgroups with small centralizers, On periodic groups saturated by finite simple groups., On the periodic groups saturated by direct products of finite simple groups., On centralizers in locally finite groups, Locally finite periodic groups saturated with finite simple orthogonal groups of odd dimension, Characterization of locally finite simple groups of type \(G_2\) over fields of odd characteristics in the class of periodic groups, Characterizations of Simple Linear Groups in the Class of Periodic Groups, Classification of periodic linear groups over fields of odd characteristic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on Cernikov \(p\)-groups
• Buildings of spherical type and finite BN-pairs
• Maximal subgroups and automorphisms of Chevalley groups
• Über einfache, lokal endliche Gruppen
• Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• Endomorphisms of linear algebraic groups
• Simple Groups and Simple Lie Algebras