Characterizations of the Fischer Groups. I, II, III

DOI10.2307/1999737zbMath0463.20013OpenAlexW4206263353MaRDI QIDQ3913575

David Parrott

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1999737

zbMATH Keywords

Fischer groupscentralizers of central involutionsfusion of involutions

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Finite simple groups and their classification (20D05)

Related Items

A 3-local characterization of \(Fi_{24}'\)., On a certain class of 2-local subgroups in finite simple groups, On finite groups having 2-local subgroups \(E_{2^{2n}}O^\pm(2n,2)\), Finite groups, A 3-local characterization of \(U_6(2)\) and \(Fi_{22}\)., On finite simple groups with large extraspecial subgroups. I, Some standard components of sporadic type, A characterization of the baby monster \(F_2\), including a note on \(^2E_6(2)\), Large extraspecial subgroups of widths 4 and 6, On finite simple groups with large extraspecial subgroups. II, A uniqueness lemma for groups generated by 3-transpositions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Beziehungen zwischen den Fixpunktzahlen von Automorphismengrupppen einer endlichen Gruppe
• Schur multipliers of some sporadic simple groups
• Finite groups with Sylow 2-subgroups of type \(\Omega(7,q)\), \(q\equiv\pm 3 (\mod B)\)
• On Thompson's simple group
• A characterization of the finite simple group M(23)
• Odd-order extensions of some orthogonal groups
• On finite groups with dihedral Sylow 2-subgroups
• Central elements in core-free groups
• A characterization of a simple group \(G_2(3)\).
• A characterization of the alternating groups of degrees eight and nine
• Finite groups generated by 3-transpositions. I
• On finite groups with Sylow 2-subgroups of type \(\hat A_n,\;n=8,9,10 \) and \(11\)
• A characterization of the finite simple group M(22)
• Finite groups with Sylow 2-subgroups of type \({\mathfrak U}_{12}\)
• Schur Multipliers of Finite Simple Groups of Lie Type
• Finite groups whose 2-subgroups are generated by at most 4 elements
• The Character Table of Fischer's Simple Group, M(23)
• Nonsolvable finite groups all of whose local subgroups are solvable
• A Characterization of the Finite Simple Group PSp₄(3)
• A Characterization of the finite simple group L₄(3)
• A Characterization of the finite simple group U₄(3)
• Character tables of certain finite simple groups
• Endliche Gruppen I
• The Mathieu Groups
• Finite simple groups with short chains of subgroups