Multiplication groups of quasigroups and loops III.

Tomáš Kepka; A. Jančařík

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Connected transversals to subnormal subgroups

Tomáš Kepka, Jon D. Phillips (1997)

Commentationes Mathematicae Universitatis Carolinae

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Subnormal subgroups possessing connected transversals are briefly discussed.

Group theory based at any point.

Albar, M.A., Huq, S.A. (2001)

International Journal of Mathematics and Mathematical Sciences

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Abelian quasinormal subgroups of groups

Stewart E. Stonehewer, Giovanni Zacher (2004)

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

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Let $G$ be any group and let $A$ be an abelian quasinormal subgroup of $G$ . If $n$ is any positive integer, either odd or divisible by $4$ , then we prove that the subgroup $A^{n}$ is also quasinormal in $G$ .

Solvable groups with many BFC-subgroups.

O. D. Artemovych (2000)

Publicacions Matemàtiques

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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.

On a certain purification problem for primary abelian groups

F. Richman, C.P. Walker (1966)

Bulletin de la Société Mathématique de France

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