Fitting pairs from direct limits and the lockett conjecture

Gallego, María Pilar Fernández

doi:10.1080/00927879608825686

Communications in Algebra

1996

DOI: 10.1080/00927879608825686

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Fitting pairs from direct limits and the lockett conjecture

María Pilar Fernández Gallego¹

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Cited by 3 publications

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Lattices of partially local fitting classes

Zalesskaya

Vorob’ëv

2009

Sib Math J

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This article deals only with finite groups. We prove the surjectivity of the mapping from the lattice of all normal Fitting classes into the lattice of the Lockett section generated by the Fitting classes that are not Lockett classes. Moreover, we find a sufficient surjectivity condition for the mapping of the lattice of the Lockett section generated by arbitrary Fitting classes into the lattice of the Lockett section generated by ω-local Fitting classes. This confirms Lockett's conjecture for the ω-local Fitting classes of a given characteristic.

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Lattices of partially local fitting classes

Zalesskaya

Vorob’ëv

2009

Sib Math J

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Problems related to the Lockett Conjecture on Fitting classes of finite groups

Guo¹,

Shum²,

Vorob’ev³

2008

Indagationes Mathematicae

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On Lockett’s Conjecture for σ-Local Fitting Classes

Vorob’ev

Volkova

2022

Russ Math.

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Fitting pairs from direct limits and the lockett conjecture

Cited by 3 publications

References 12 publications

Lattices of partially local fitting classes

Lattices of partially local fitting classes

Problems related to the Lockett Conjecture on Fitting classes of finite groups

On Lockett’s Conjecture for σ-Local Fitting Classes

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