scientific article; zbMATH DE number 1131662

zbMath0896.20001MaRDI QIDQ4382681

Larry C. Grove

Publication date: 23 March 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symplectic groupsFrobenius groupswreath productssemidirect productsnilpotent groupsirreducible charactersSylow subgroupsbilinear formsirreducible representationssolvable groups\(p\)-groupsorthogonality relationsmetacyclic groupsFrobenius reciprocityMathieu groupsCoxeter-Todd algorithmSchur indexClifford's Theoremfocal subgroupsSchreier-Sims algorithmSchreier generators

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (16)

Towards the classification of finite simple groups with exactly three or four supercharacter theories ⋮ On the construction of irreducible characters in \(p\)-blocks with normal metacyclic defect groups. ⋮ Clifford theory and applications. ⋮ Symplectic commutator subgroups. ⋮ Mutually orthogonal Latin squares as group transversals ⋮ Local symmetry groups for arbitrary wavevectors ⋮ A note on the number of centralizers in finite AC-groups ⋮ Finite groups with submultiplicative spectra. ⋮ Unnamed Item ⋮ Harmonic analysis on finite Heisenberg groups. ⋮ The finite 1-affine complete Frobenius groups. ⋮ Reflection groups and polytopes over finite fields. III. ⋮ Blocks of full defect with nonabelian metacyclic defect groups. ⋮ Computing the character table of a finite group. ⋮ Categorical Morita Equivalence for Group-Theoretical Categories ⋮ Finite groups with two rows which differ in only one entry in character tables

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