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Titlebook: Structure of a Group and the Structure of its Lattice of Subgroups; Michio Suzuki Book 1956 Springer-Verlag Berlin Heidelberg 1956 Abelian

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Isomorphisms of subgroup lattices,rms have been used instead of projectivity. For instance, . and . called it a ., and . and . used the term ..) Every isomorphism of the group . onto . induces clearly an isomorphism of the lattice . onto .. The converse assertion is not always true, since there exist large classes of non-isomorphic
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e first papers on this topic have appeared, notably those of BAER and ORE, a large body of literature has grown up around this theory, and it is our aim to give a picture of the present state of this theory. To obtain a systematic treatment of the subject quite a few unpublished results of the autho
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Isomorphisms of subgroup lattices,groups whose subgroup lattices are isomorphic. Under what circumstances, then, is a projectivity induced by a group isomorphism ? The following theorem reduces this problem largely to the corresponding problem for finitely generated groups.
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Book 1956t exclusively references to standard works like BIRKHOFF [lJ and ZASSENHAUS [lJ. The author would like to express his sincere gratitude to Professors REINHOLD BAER and DONALD G. HIGMAN for their kindness in giving hirn many valuable suggestions. His thanks are also due to Dr. NOBORU ITo who, during
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are almost exclusively references to standard works like BIRKHOFF [lJ and ZASSENHAUS [lJ. The author would like to express his sincere gratitude to Professors REINHOLD BAER and DONALD G. HIGMAN for their kindness in giving hirn many valuable suggestions. His thanks are also due to Dr. NOBORU ITo who, during 978-3-642-52760-9978-3-642-52758-6
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Michio Suzukieine eigene Erfindung noch eine Übernahme bestehender Vor- ben. Es ist ein Vorschlag, aus bestehenden Möglichkeiten unter Ausnutzung der Erfahrungen - derer die eigene bestehende Struktur weiter zu entwickeln. Die Wichtigkeit dieses Pun978-3-8349-0909-1978-3-8349-9406-6
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