Cyclic quasinormal subgroups of arbitrary groups
Stewart E. Stonehewer, Giovanni Zacher (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “GBRDs with block size three over 2-groups, semi-dihedral groups and nilpotent groups.”
Cyclic quasinormal subgroups of arbitrary groups
ZA groups with a cyclic terminal upper central factor
Weston, Kenneth (1967)
Portugaliae mathematica
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On semiabelian groups.
Kuzennyi, N.F., Subbotin, I.Ya. (2005)
International Journal of Mathematics and Mathematical Sciences
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6-BFC groups
Cliff David, James Wiegold (2006)
Rendiconti del Seminario Matematico della Università di Padova
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On cyclic groups
Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
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On the Occurrence of the Complete Graph in the Hasse Graph of a Finite Group
Roland Schmidt (2006)
Rendiconti del Seminario Matematico della Università di Padova
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On the number of solutions of equation in a finite group
Yakov Berkovich (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Theorem A yields the condition under which the number of solutions of equation in a finite -group is divisible by (here is a fixed positive integer). Theorem B which is due to Avinoam Mann generalizes the counting part of the Sylow Theorem. We show in Theorems C and D that congruences for the number of cyclic subgroups of order which are true for abelian groups hold for more general finite groups (for example for groups with abelian Sylow -subgroups).