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- W2034503373 abstract "If the character table of a finite group H satisfies certain conditions, then the classes and characters of H can fuse to give the character table of a group G of the same order. We investigate the case where H is an abelian group. In a previous article, we gave examples of Camina pairs that fuse from abelian groups. In this article, we give more general examples of Camina triples that fuse from abelian groups. We use this result to give an example of a group which fuses from an abelian group, but which has a subgroup that does not. We also give an example of a powerful 2-group which does not fuse from an abelian group and of a regular 3-group which does not fuse from an abelian group." @default.
- W2034503373 created "2016-06-24" @default.
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- W2034503373 date "2009-11-24" @default.
- W2034503373 modified "2023-09-24" @default.
- W2034503373 title "Fusions of Character Tables II:p-Groups" @default.
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- W2034503373 doi "https://doi.org/10.1080/00927870902828975" @default.
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