Abstract
To search for nontrivial proper normal subgroups is often the first step in the investigation of a finite group. For example, if the group G has such a normal subgroup N, then in proofs by induction one frequently gets information about N and G/N, allowing one to derive the desired result for G (e.g., 6.1.2 on page 122).
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© 2004 Springer-Verlag New York, Inc.
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Kurzweil, H., Stellmacher, B. (2004). Transfer and p-Factor Groups. In: The Theory of Finite Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/0-387-21768-1_7
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DOI: https://doi.org/10.1007/0-387-21768-1_7
Publisher Name: Springer, New York, NY
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