Infinite groups saturated by Frobenius subgroups

DOI10.1007/BF01670008zbMath0405.20040OpenAlexW1967234867MaRDI QIDQ1257100

K. Appert

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01670008

zbMATH Keywords

Frobenius GroupInfinite Locally Finite SubgroupInfinite Locally Soluble SubgroupsInfinite Periodic Group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Local properties of groups (20E25)

Related Items (21)

Characterization of layer-finite groups in the class of periodic groups ⋮ Characterization of a certain class of Chernikov groups ⋮ A nonsimplicity criterion for groups. ⋮ On the structure of the noninvariant factor in some Frobenius groups ⋮ On groups with a strongly imbedded subgroup having an almost layer-finite periodic part. ⋮ Infinite groups saturated with Frobenius subgroups. II ⋮ \(M_p\)-groups not containing groups of quaternions. ⋮ On groups with a normal splitting component ⋮ Groups with layer-finite periodic part ⋮ On groups with Frobenius elements. ⋮ \(M_ p\)-groups with kernel of arbitrary rank ⋮ \(M_ p\)-groups with a regular handle ⋮ Groups saturated with finite Frobenius groups ⋮ On Frobenius groups ⋮ Characterizations of the groups with almost layer-finite periodic parts ⋮ Two nonsimplicity criteria for groups with an infinitely isolated subgroup ⋮ \(M_ p\)-groups ⋮ Conjugately biprimitively finite groups with the primary minimal condition ⋮ Characterization of groups with finite periodic part ⋮ Characterization of layer-finite groups ⋮ Almost layer finiteness of a periodic group without involutions

Cites Work

• Groups with Frobenius pairs of conjugate elements
• Solvability of groups of odd order
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• On the Triangular Form of a Linear Transformation
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