Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups
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Yifan Liu
Abstract
Let A and G be finite groups such that A acts coprimely on G by automorphisms. We prove that if every self-centralizing non-nilpotent A-invariant subgroup of G is a TI-subgroup or a subnormal subgroup, then every non-nilpotent A-invariant subgroup of G is subnormal and G is p-nilpotent or p-closed for any prime divisor p of
Funding statement: This work was supported by Shandong Provincial Natural Science Foundation, China (ZR2017MA022), NSFC (11761079) and Graduate Innovation Foundation of Yantai University (GGIFYTU2312).
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Articles in the same Issue
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- Additivity of multiplicative (generalized) skew semi-derivations on rings
- On statistical convergence of order α in partial metric spaces
- Generalized derivations over amalgamated algebras along an ideal
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- Two presentations of a weak type inequality for geometric maximal operators
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- Essential norm of Riemann–Stieltjes operator on weighted Bergman spaces with doubling weights
- Concerning the Nakayama property of a module
- Multiplicity result for a (p(x),q(x))-Laplacian-like system with indefinite weights
- Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups
- The Dirichlet problem in an infinite layer for a system of differential equations with shifts
- Signless Laplacian spectrum of the cozero-divisor graph of the commutative ring ℤ𝑛
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Articles in the same Issue
- Frontmatter
- Additivity of multiplicative (generalized) skew semi-derivations on rings
- On statistical convergence of order α in partial metric spaces
- Generalized derivations over amalgamated algebras along an ideal
- Numerical radii of operator matrices in terms of certain complex combinations of operators
- Centralizing identities involving generalized derivations in prime rings
- Two presentations of a weak type inequality for geometric maximal operators
- Existence and exponential stability of solutions for a Balakrishnan–Taylor quasilinear wave equation with strong damping and localized nonlinear damping
- Identities with generalized derivations on Lie ideals and Banach algebras
- Essential norm of Riemann–Stieltjes operator on weighted Bergman spaces with doubling weights
- Concerning the Nakayama property of a module
- Multiplicity result for a (p(x),q(x))-Laplacian-like system with indefinite weights
- Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups
- The Dirichlet problem in an infinite layer for a system of differential equations with shifts
- Signless Laplacian spectrum of the cozero-divisor graph of the commutative ring ℤ𝑛
- A new fuzzy approach of vehicle routing problem for disaster-stricken zones
