Abstract
It is shown that, except for three cases, a soluble group of order pam, pa>m, always contains a nontrivial normal p-subgroup. Examples are constructed to show that in the excluded cases, nontrivial normal p-subgroups may not exist.
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Translated from Matematicheskii Zametki, Vol. 18, No. 6, pp. 877–886, December, 1975.
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Monakhov, V.S. Normal subgroups of biprimary groups. Mathematical Notes of the Academy of Sciences of the USSR 18, 1109–1114 (1975). https://doi.org/10.1007/BF01099991
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DOI: https://doi.org/10.1007/BF01099991