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A Characterization of the Finite Groups PSL (n, q).

Kok-Wee Phan (1972)

Mathematische Zeitschrift

A condition for the solvability of finite groups.

Miao, Long, Qian, Guohua (2009)

Sibirskij Matematicheskij Zhurnal

A note on a class of factorized $p$ -groups

Enrico Jabara (2005)

Czechoslovak Mathematical Journal

In this note we study finite $p$ -groups $G = A B$ admitting a factorization by an Abelian subgroup $A$ and a subgroup $B$ . As a consequence of our results we prove that if $B$ contains an Abelian subgroup of index $p^{n - 1}$ then $G$ has derived length at most $2 n$ .

A note on a result of Skiba.

Li, Yangming, Qiao, Shouhong, Wang, Yanming (2009)

Sibirskij Matematicheskij Zhurnal

A note on factorized (finite) $p$ -groups

Marta Morigi (1997)

Rendiconti del Seminario Matematico della Università di Padova

A note on influence of subgroup restrictions in finite group structure.

Khazal, R., Mukherjee, N.P. (1989)

International Journal of Mathematics and Mathematical Sciences

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

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 $G$ .

Algorithms for permutability in finite groups

Adolfo Ballester-Bolinches, Enric Cosme-Llópez, Ramón Esteban-Romero (2013)

Open Mathematics

In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.

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