Products of Finite Groups (De Gruyter Expositions in Mathematics)


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Illinois Journal of Mathematics

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1.5 Finite groups and subgroups

In: Mathematics and Its Applications, vol. Springer, New York Google Scholar. Carocca, A. Vasilev, A. Siberian Math.

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Doerk, K. Gorenstein, D. Chelsea Pub.

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Huppert, B. Stonehewer, S. Pure Appl. Connections between normalizers and projectors.

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Precursive subgroups. The Frattini subgroup. Theorems of Gaschiitz SchurZassenhaus and Maschke. Coprime operator groups. Automorphism groups induced on chief factors. Subnormal subgroups.

De Gruyter Expositions in Mathematics

Primitive finite groups. Maximal subgroups of soluble groups. The wreath product. Subdirect and central products. Extraspecial pgroups and their automorphism groups. Automorphisms of abelian groups. Chapter B Prerequisitesrepresentation theory 1 Tensor products. Projective and injective modules. Modules and representations of Kalgebras. The structure of a group algebra.

Changing the field of a representation. Induced modules. Faithful and simple modules. Modules with special properties. Group constructions using modules. The proof of Burnsides ptheorem. System normalizers. Pronormal subgroups.

Research/Recerca/Investigación

Normally embedded subgroups. Some special classes defined by closure properties.

see url Projectors and covering subgroups. Locallydefined Schunck classes and other constructions. Projectors in subgroups.


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Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)
Products of Finite Groups (De Gruyter Expositions in Mathematics) Products of Finite Groups (De Gruyter Expositions in Mathematics)

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