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Displaying 61 – 80 of 108

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Solvable groups with many BFC-subgroups.

O. D. Artemovych (2000)

Publicacions Matemàtiques

We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.

Some commutativity criteria

John C. Lennox, A. Mohammadi Hassanabadi, James Wiegold (1990)

Rendiconti del Seminario Matematico della Università di Padova

Sui gruppi finiti i cui sottogruppi non normali hanno tutti lo stesso ordine

Guido Zappa (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Sia G un gruppo non abeliano né hamiltoniano, ed n un intero 2 . Si dice che G appartiene a S n se tutti i sottogruppi non normali di G hanno ordine n . Sia p un numero primo. In questa Nota vengono determinati: 1) tutti i p -gruppi in S p (Teoremi 1 e 2); 2) tutti i p -gruppi in S p i per i 2 e p 3 (Teorema 3); 3) tutti i gruppi di esponente 4 appartenenti ad S 4 (Teorema 4).

The divisible radical of a group

B.A.F. Wehrfritz (2009)

Open Mathematics

We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.

Currently displaying 61 – 80 of 108