GROUPS WITH A GIVEN NUMBER OF NONPOWER SUBGROUPS
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Abstract No group has exactly one or two nonpower subgroups. We classify groups containing exactly three nonpower subgroups and show that there is a unique finite group with exactly four nonpower subgroups. Finally, we show that given any integer k greater than $4$ , there are infinitely many groups with exactly k nonpower subgroups.
2020 ◽
Vol 9
(10)
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pp. 8869-8881
1980 ◽
Vol 88
(1)
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pp. 15-31
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Keyword(s):
1993 ◽
Vol 42
(3)
◽
pp. 362-368
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