Geodesic
On the $p$-length of a product of two $B$-groups
Problemy fiziki, matematiki i tehniki, no. 4 (2024), pp. 48-52.

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A finite non-nilpotent group is called a $B$-group if every proper subgroup of its quotient group by Frattini subgroup is primary. The $p$-length $l_p(G)$ of a finite $p$-soluble group, which is the product of two $B$-subgroups, is studied. It has been proved that $l_p(G)\leqslant 1$ if $p$ does not divide the index of one of the $B$-subgroups.
Keywords: finite group, $p$-length, product of subgroups.
Mots-clés : $B$-group, $p$-soluble group 
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V. N. Kniahina. On the $p$-length of a product of two $B$-groups. Problemy fiziki, matematiki i tehniki, no. 4 (2024), pp. 48-52. http://geodesic.mathdoc.fr/item/PFMT_2024_4_a7/

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