Certain embeddings among finite groups of Lie type

DOI10.1016/0021-8693(78)90211-9zbMath0386.20006OpenAlexW2081165943WikidataQ115367526 ScholiaQ115367526MaRDI QIDQ1249640

Eivind Stensholt

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90211-9

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Series and lattices of subgroups (20D30) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (31)

Complex linear groups of degree at most v-3 ⋮ QUASIRECOGNITION BY PRIME GRAPH OF SOME ORTHOGONAL GROUPS OVER THE BINARY FIELD ⋮ On the composition factors of a group with the same prime graph as B n (5) ⋮ Simple primitive permutation groups of small degree ⋮ Linear groups of small degrees over the field of order 2 ⋮ On linear groups with a cyclic or T.I. Sylow subgroup ⋮ Finite groups whose prime graphs do not contain triangles. I ⋮ Quasirecognition of E6(q) by the orders of maximal abelian subgroups ⋮ Finite groups and subgroup-permutability ⋮ Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ Subgroups of Classical Groups Generated by Long Root Elements ⋮ Minimal partition-free groups ⋮ On \(r\)-recognition by prime graph of \(B_p(3)\) where \(p\) is an odd prime. ⋮ Recognition by prime graph of \(^2D_{2^m+1}(3)\). ⋮ Groups with the same orders of maximal abelian subgroups as \(A_2(q)\). ⋮ Linear groups ⋮ On the Sylow graph of a group and Sylow normalizers. ⋮ Finite groups ⋮ On recognizability of \(\mathrm{PSU}_3(q)\) by the orders of maximal abelian subgroups ⋮ On recognition by spectrum of the simple groups \(B_3(q)\), \(C_3(q)\), and \(D_4(q)\). ⋮ Groups with the same prime graph as the simple group \(D_n(5)\). ⋮ Complete reducibility of quadratic modules for finite Lie-type groups. ⋮ CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD ⋮ Element orders in covers of finite simple groups of Lie type ⋮ Recognition by spectrum of the groups \(^2D_{2^m+1}(3)\). ⋮ Unnamed Item ⋮ Die Projektivitaetengruppen der endlichen Translationsebenen ⋮ A criterion for the existence of normal \(\pi\) -complements in finite groups ⋮ Quasirecognition by prime graph of \(^2D_n(3^\alpha)\) where \(n=4m+1\geq 21\) and \(\alpha\) is odd ⋮ Groups of Lie type generated by long root elements in \(F_4(K)\). ⋮ Recognition by spectrum for simple classical groups in characteristic 2.

Cites Work

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• An application of Steinberg's construction of twisted groups
• Maximal subgroups and automorphisms of Chevalley groups
• Irreducible subgroups of orthogonal groups generated by groups of root type 1
• Some subgroups of \(SI_ n(F_2)\)
• Endliche Gruppen I

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