Finite groups with a standard-component of type $L_3(4)$, II

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 $G$ .

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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Group theory based at any point.

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

International Journal of Mathematics and Mathematical Sciences

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John Lennox, Federico Menegazzo, Howard Smith, James Wiegold (1988)

Rendiconti del Seminario Matematico della Università di Padova

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