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Commutator structure of some subgroups of Chevalley groups

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Publication:1204899
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DOI10.1007/BF01056951zbMath0784.20020MaRDI QIDQ1204899

V. M. Levchuk

Publication date: 1 April 1993

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


zbMATH Keywords

unitary groupsChevalley groupscommutatorcarpet subgroups


Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Commutator calculus (20F12)


Related Items

One necessary condition for the regularity of a \(p\)-group and its application to Wehrfritz's problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Necessary and sufficient conditions for the regularity of the Sylow \(p \)-subgroups of the Chevalley groups over \({ \mathbb{Z} }_p\) and \({ \mathbb{Z} }_{p^2} \) ⋮ Automorphisms of Sylow \(p\)-subgroups of Chevalley groups over \(p\)-primary residue rings of integers. ⋮ Finite \(p\)-groups



Cites Work

  • On Some Simple Groups Defined by C. Chevalley
  • Zentralreihen von Netzuntergruppen der symplektischen Gruppe
  • A Note on SI¯-Groups
  • On normal subgroups of Chevalley groups over commutative rings
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