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The Embedding of Quasinormal Subgroups in Finite Groups.

Peter Schmid, Rudolf Maier (1973)

Mathematische Zeitschrift

The Hughes subgroup

Robert Bryce (1994)

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

Let $G$ be a group and $p$ a prime. The subgroup generated by the elements of order different from $p$ is called the Hughes subgroup for exponent $p$ . Hughes [3] made the following conjecture: if $H_{p} (G)$ is non-trivial, its index in $G$ is at most $p$ . There are many articles that treat this problem. In the present Note we examine those of Strauss and Szekeres [9], which treats the case $p = 3$ and $G$ arbitrary, and that of Hogan and Kappe [2] concerning the case when $G$ is metabelian, and $p$ arbitrary. A common proof is...

Nel presente lavoro vengono dimostrati teoremi d'esistenza di $p$ -complementi normali nei gruppi finiti.

Displaying 1 – 5 of 5

The Embedding of Quasinormal Subgroups in Finite Groups.

The Hughes subgroup

The other $P (G, V)$ -theorem

The $p^{*} p$ -injectors of a finite group

The superfocal subgroup

Currently displaying 1 – 5 of 5

Displaying 1 – 5 of 5

The Embedding of Quasinormal Subgroups in Finite Groups.

The Hughes subgroup

The other P ( G , V ) -theorem

The p * p -injectors of a finite group

The superfocal subgroup

Currently displaying 1 – 5 of 5

The other $P (G, V)$ -theorem

The $p^{*} p$ -injectors of a finite group