Fusions of character Tables II: P-groups

Stephen P. Humphries, Kenneth W. Johnson

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)4296-4315
Number of pages20
JournalCommunications in Algebra
Volume37
Issue number12
DOIs
StatePublished - Dec 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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