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Isolated elements of prime order in finite groups

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Publication:1117320
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DOI10.1007/BF01061317zbMath0667.20019MaRDI QIDQ1117320

Orest D. Artemovych

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

finite groupscenterchief factorsclassification of finite simple groupsisolated elements\(Z^*\)-theorem


Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)


Related Items (3)

Transversals in permutation groups and factorisations of complete graphs ⋮ Strong fusion control and stable equivalences. ⋮ On Hering decomposition of DK\(_n\) induced by group actions on conjugacy classes



Cites Work

  • Automorphisms which centralize a Sylow p-subgroup
  • Central elements in core-free groups
  • Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
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