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In this paper we classify finite groups whose nonnormal subgroups
are of order p or pq, where p, q are primes. As a by-product,
we also classify the finite groups in which all nonnormal subgroups
are cyclic.
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참고문헌 (9)
참고문헌 신청
B. Huppert / 1967 / Endliche Gruppen I / Springer-Verlag
D. Gorenstein / 2005 / The Classification of the Finite Simple Groups. Number 6. Part IV, The special odd case. Mathematical Surveys and Monographs, 40.6 / American Mathematical Societ
D. S. Passman / 1970 / Nonnormal subgroups of p-groups / J. Algebra 15 : 352 ~ 370
H. Kurzweil / 2004 / The Theory of Finite Groups / Springer
L. R´edei / 1947 / Das schiefe Product in der Gruppentheorie / Comment. Math. Helvet. 20 : 225 ~ 267
D. Gorenstein / 2005 / The Classification of the Finite Simple Groups. Number 6. Part IV, The special odd case. Mathematical Surveys and Monographs, 40.6 / American Mathematical Societ
D. S. Passman / 1970 / Nonnormal subgroups of p-groups / J. Algebra 15 : 352 ~ 370
H. Kurzweil / 2004 / The Theory of Finite Groups / Springer
L. R´edei / 1947 / Das schiefe Product in der Gruppentheorie / Comment. Math. Helvet. 20 : 225 ~ 267
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