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- W2162595101 abstract "Abstract A finite group is called a CH -group if for every x , y ∈ G ∖ Z ( G ), xy = yx implies that $|cent Gx| = |cent Gy|$ . Applying results of Schmidt [‘Zentralisatorverbände endlicher Gruppen’, Rend. Sem. Mat. Univ. Padova 44 (1970), 97–131] and Rebmann [‘ F -Gruppen’, Arch. Math. 22 (1971), 225–230] concerning CA -groups and F -groups, the structure of CH -groups is determined, up to that of CH -groups of prime-power order. Upper bounds are found for the derived length of nilpotent and solvable CH -groups." @default.
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- W2162595101 date "2010-07-07" @default.
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- W2162595101 title "FINITE GROUPS WHOSE NONCENTRAL COMMUTING ELEMENTS HAVE CENTRALIZERS OF EQUAL SIZE" @default.
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- W2162595101 doi "https://doi.org/10.1017/s0004972710000298" @default.
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