Finite groups whose $n$-maximal subgroups are subnormal
HTML articles powered by AMS MathViewer
- by Avinoβam Mann PDF
- Trans. Amer. Math. Soc. 132 (1968), 395-409 Request permission
References
- Reinhold Baer, Classes of finite groups and their properties, Illinois J. Math. 1 (1957), 115β187. MR 87655
- W. Burnside, Theory of groups of finite order, Dover Publications, Inc., New York, 1955. 2d ed. MR 0069818
- Leonard Eugene Dickson, Linear groups: With an exposition of the Galois field theory, Dover Publications, Inc., New York, 1958. With an introduction by W. Magnus. MR 0104735
- Daniel Gorenstein and John H. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math. 6 (1962), 553β593. MR 142619
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- I. N. Herstein, A remark on finite groups, Proc. Amer. Math. Soc. 9 (1958), 255β257. MR 93542, DOI 10.1090/S0002-9939-1958-0093542-8
- Bertram Huppert, Normalteiler und maximale Untergruppen endlicher Gruppen, Math. Z. 60 (1954), 409β434 (German). MR 64771, DOI 10.1007/BF01187387
- Zvonimir Janko, Finite groups with invariant fourth maximal subgroups, Math. Z. 82 (1963), 82β89. MR 153731, DOI 10.1007/BF01112825
- Zvonimir Janko, Finite simple groups with short chains of subgroups, Math. Z. 84 (1964), 428β437. MR 165009, DOI 10.1007/BF01109910
- G. A. Miller, Determination of all the groups of order $p^m$ which contain the abelian group of type $(m-2,1),\ p$ being any prime, Trans. Amer. Math. Soc. 2 (1901), no.Β 3, 259β272. MR 1500568, DOI 10.1090/S0002-9947-1901-1500568-X
- G. A. Miller, On the groups of order $p^m$ which contain operators of order $p^{m-2}$, Trans. Amer. Math. Soc. 3 (1902), no.Β 4, 383β387. MR 1500608, DOI 10.1090/S0002-9947-1902-1500608-9
- G. A. Miller and H. C. Moreno, Non-abelian groups in which every subgroup is abelian, Trans. Amer. Math. Soc. 4 (1903), no.Β 4, 398β404. MR 1500650, DOI 10.1090/S0002-9947-1903-1500650-9 L. I. Neikirk, Groups of order ${p^m}$ which contain cyclic subgroups of order ${p^{m - 3}}$, Publ. Univ. of Pennsylvania Ser. Math. No. 3, Philadelphia, Pa., 1905.
- Oystein Ore, Contributions to the theory of groups of finite order, Duke Math. J. 5 (1939), no.Β 2, 431β460. MR 1546136, DOI 10.1215/S0012-7094-39-00537-5 I. Schur, Untersuchungen ΓΌber die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. fΓΌr Math. 132 (1907), 85-137.
- Michio Suzuki, The nonexistence of a certain type of simple groups of odd order, Proc. Amer. Math. Soc. 8 (1957), 686β695. MR 86818, DOI 10.1090/S0002-9939-1957-0086818-0
- Hans J. Zassenhaus, The theory of groups, Chelsea Publishing Co., New York, 1958. 2nd ed. MR 0091275
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 132 (1968), 395-409
- MSC: Primary 20.25
- DOI: https://doi.org/10.1090/S0002-9947-1968-0223446-X
- MathSciNet review: 0223446