Finite groups with a Sylow 2-subgroup of type M\(_{24}\). I, II

DOI10.1016/0021-8693(74)90020-9zbMath0273.20014OpenAlexW4210751172MaRDI QIDQ2264852

Ulrich Schoenwaelder

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90020-9

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05)

Related Items

On a certain class of 2-local subgroups in finite simple groups, Finite groups with a standard component isomorphic to \(M_24\), The maximal subgroups of the sporadic simple group of Held, On groups related to Held's simple group, Groups with weakly closed TI-subgroups, Über einfache endliche gruppen mit sylow-2-gruppen der ordnung höchstens 2¹⁰, Über Gruppen, die in ähnliche Beziehung zu \(M_{24}\) oder \(L_5(2)\) stehen, wie \(Sz\) zu \(He\), und eine Kennzeichnung von \(M_{24}\) und \(L_5(2)\). II, Finite groups with Sylow 2-subgroups isomorphic to \(T/Z(T)\), where \(T\) is of type \(M_{24}\), A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups, Certain multiply transitive setwise stabilizers, The core-free groups of Sylow-2-type \(M_{24}\), Standard components of type M₂₄, Finite groups in which the normalizers of pairwise intersections of Sylow 2-subgroups have odd indices.

Cites Work

• Beziehungen zwischen den Fixpunktzahlen von Automorphismengrupppen einer endlichen Gruppe
• Existence of normal complements and extension of characters in finite groups
• Central elements in core-free groups
• The simple groups related to \(M_{24}\)
• A characterization of the simple groups \(S_{p}(6,2)\)
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• A characterization of the simple group \(M_{24}\)
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• Beiträge zur Gruppentheorie. III.
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