On groups with an involution z such that the generalized pitting subgroup e op c(Z) is extra-special and C(z)/E ⊇ (out(E))

DOI10.1080/00927877708822169zbMath0387.20018OpenAlexW2074582511MaRDI QIDQ4169045

Fredrick L. Smith

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1080/00927877708822169

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

A characterization of orthogonal groups over GF(2) ⋮ Einige Gruppen von Charakteristik 2-Typ ⋮ Large extraspecial subgroups of widths 4 and 6

Cites Work

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• A characterization of the Suzuki sporadic simple group of order 448,345,497,600
• On the centralizers on involution in finite fusion-simple groups
• Central elements in core-free groups
• Defect groups in the theory of representations of finite groups
• Die 5-fach transitiven Gruppen von Mathieu
• Nonsolvable finite groups all of whose local subgroups are solvable
• A Group of Order 8,315,553,613,086,720,000

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