TY - JOUR

T1 - Fusions of character Tables II

T2 - P-groups

AU - Humphries, Stephen P.

AU - Johnson, Kenneth W.

PY - 2009/12

Y1 - 2009/12

N2 - 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.

AB - 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.

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U2 - 10.1080/00927870902828975

DO - 10.1080/00927870902828975

M3 - Article

AN - SCOPUS:75649090488

SN - 0092-7872

VL - 37

SP - 4296

EP - 4315

JO - Communications in Algebra

JF - Communications in Algebra

IS - 12

ER -