Conjugacy Classes Outside a Normal Subgroup

DOI10.1081/AGB-200039286zbMath1094.20013OpenAlexW2003770107MaRDI QIDQ4678718

Guohua Qian, Xingzhong You, Wujie Shi

Publication date: 23 May 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200039286

zbMATH Keywords

finite groupsFrobenius groupscharactersSylow subgroupsnormal complementsunions of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES ⋮ On EPO-groups with a given property on their conjugacy classes ⋮ Solvable groups with four conjugacy classes outside a normal subgroup ⋮ Finite solvable groups with at most two nonlinear irreducible characters of each degree. ⋮ Finite Solvable Groups with an Irreducible Character Vanishing on Just One Class of Elements ⋮ On generalized FC-groups ⋮ Finite groups whose irreducible characters vanish on at most three conjugacy classes ⋮ On zeros of characters of finite groups ⋮ A Note on “Conjugacy Classes Outside a Normal Subgroup” ⋮ Finite groups with few character zeros ⋮ Classification of non-solvable groups with a given property.

Cites Work

• Unnamed Item
• Subgroups which are the union of three conjugate classes
• Irreducible character degrees and normal subgroups
• The characterization of finite groups with abelian Sylow 2-subgroups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• Bounding the Fitting height of a solvable group by the number of zeros in a character table
• Endliche Gruppen I
• Fitting heights of solvable groups with few character degrees

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