2-local subgroups of finite groups

DOI10.1007/BF01980753zbMath0507.20012OpenAlexW2005467807MaRDI QIDQ1837280

Anatoli Kondrat'ev

Publication date: 1983

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187174

zbMATH Keywords

Suzuki groupHigman-Sims groupfinite simple groupHall-Janko group2-local subgroupLyons-Sims groupO'Nan-Sims group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• On finite groups having self-centralizing 2-subgroups of small order
• Über Gruppen mit 2-Sylow-Durchschnitten vom Rang \(\leq 3\). I
• Finite groups with a standard component isomorphic to HJ or HJM
• On groups with a standard component of known type
• Large extraspecial subgroups of widths 4 and 6
• 2-fusion in finite groups
• Central elements in core-free groups
• Groups whose Sylow 2-groups have cyclic commutator groups
• On finite groups with Sylow 2-subgroups of type \(A_n\), \(n=8,9,10,11\)
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• Finite simple groups with Sylow 2-subgroup dihedral wreath Z\(_2\)
• Finite simple groups with Sylow 2-subgroups of type PSL(4, q), q odd
• ABSTRACT PROPERTIES OF THE SIMPLE SPORADIC GROUPS
• Finite simple groups with Sylow 2-subgroups of typePSL(5,q),qodd
• Finite groups in which the generalized fitting group of the centraliser of some involution is symplectic but not extraspecial
• Finite groups whose 2-subgroups are generated by at most 4 elements
• Some Evidence for the Existence of a New Simple Group
• Endliche Gruppen I
• Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd

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