The finite irreducible monomial linear groups of degree \(4\)

DOI10.1006/jabr.1999.7883zbMath0939.20050OpenAlexW1972508462MaRDI QIDQ1306897

Dane L. Flannery

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7883

zbMATH Keywords

wreath productsfinite \(p\)-subgroupssemi-direct productsfinite irreducible \(2\)-subgroupsgroups of monomial matricesgroups of non-singular matrices

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Finite imprimitive linear groups of prime degree. ⋮ LINEAR GROUPS OF SMALL DEGREE OVER FINITE FIELDS ⋮ Equivariant pliability of the projective space ⋮ Toric \(G\)-solid Fano threefolds ⋮ Weakly-exceptional quotient singularities ⋮ L. G. KOVÁCS AND LINEAR GROUPS ⋮ IRREDUCIBLE MONOMIAL LINEAR GROUPS OF DEGREE FOUR OVER FINITE FIELDS ⋮ Finite irreducible monomial groups of small prime degree ⋮ Finite irreducible imprimitive nonmonomial complex linear groups of degree 4. ⋮ Some primitive linear groups of prime degree. ⋮ Classifying finite monomial linear groups of prime degree in characteristic zero

Cites Work

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• The primitive permutation groups of degree less than 1000
• Submodule lattices of direct sums
• The finite irreducible linear 2-groups of degree 4
• The primitive soluble permutation groups of degree less than 256