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On covering number of groups with trivial Fitting subgroup

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Publication:2157577
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DOI10.1007/s10114-022-0521-zzbMath1495.20003OpenAlexW4285809261MaRDI QIDQ2157577

Yang Liu

Publication date: 22 July 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0521-z


zbMATH Keywords

covering numbercharacter degreenonsolvable group


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Special subgroups (Frattini, Fitting, etc.) (20D25)


Related Items (1)

Results related to Huppert's $\rho$-$\sigma$ conjecture



Cites Work

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  • Prime divisors of irreducible character degrees.
  • A conjecture about character degrees of solvable groups
  • Character degrees of simple groups
  • Arithmetically long orbits of solvable linear groups.
  • Orbits of permutation groups on the power set
  • On Huppert's \(\rho\)-\(\sigma\) conjecture
  • On a conjecture of Alvis.
  • Character degrees of extensions of PSL2(q) and SL2(q)
  • A note on Huppert's ρ – σ conjecture: An improvement on a result by Casolo and Dolfi
  • Prime divisors of character degrees
  • Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups


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