Finite soluble groups containing an element of prime order whose centralizer is small
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Publication:1146255
DOI10.1007/BF01223692zbMath0447.20014OpenAlexW2048161555MaRDI QIDQ1146255
Publication date: 1981
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01223692
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45)
Related Items (30)
Solvable groups admitting an automorphism of prime power order whose centralizer is small ⋮ A finiteness condition on centralizers in locally finite groups ⋮ Almost solubility of Lie algebras with almost regular automorphisms ⋮ Almost regular automorphisms of finite groups of bounded rank ⋮ Finite groups with an automorphism of prime order whose centralizer has small rank. ⋮ Lie algebras with almost constant-free derivations ⋮ Finite groups whose prime graphs do not contain triangles. I ⋮ Unnamed Item ⋮ On locally finite groups with a four-subgroup whose centralizer is small. ⋮ Finite soluble groups admitting an automorphism of prime power order with few fixed points ⋮ On the structure of locally finite groups with small centralizers. ⋮ Lie rings with almost regular automorphisms. ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ Locally finite groups containing a \(2\)-element with Chernikov centralizer. ⋮ Centralizers in pseudo-finite groups ⋮ On finite groups isospectral to simple classical groups. ⋮ Finite groups without elements of order six ⋮ Automorphisms of prime order almost regular in the sense of rank. ⋮ Automorphisms with finite Reidemeister number in residually finite groups. ⋮ Locally finite groups and their subgroups with small centralizers ⋮ Polycyclic group admitting an almost regular automorphism of prime order. ⋮ Profinite Groups with Restricted Centralizers ⋮ A note on groups with restrictions on centralizers of in nite index ⋮ Bounding the exponent of a finite group with automorphisms ⋮ Almost regular automorphisms ⋮ Nilpotent residual and fitting subgroup of fixed points in finite groups ⋮ Unnamed Item ⋮ On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw ⋮ On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks ⋮ Zentralisatoren von p-Elementen in lokal endlichen Gruppen. (Centralizers of p-elements in locally finite groups)
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