Finite group theory / I. Martin Isaacs

By:

Isaacs, I. Martin, 1940 [author]

Material type: Text

TextSeries: Graduate studies in mathematics ; 92Publication details: Providence, R.I. : New Delhi ; American Mathematical Society, 2019.Edition: Indian editionDescription: xi, 350 pages : illustrations ; 24 cmISBN:

9780821868843

Subject(s):

DDC classification:

22 512.23 Is14F

Contents:

Sylow theory -- Subnormality -- Split extensions -- Commutators -- Transfer -- Frobenius actions -- The Thompson subgroup -- Permutation groups -- More on subnormality -- More transfer theory.

Summary: Begins with a review of group actions and Sylow theory. This title includes semidirect products, the Schur-Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, and also Thompson's J-subgroup and his normal $p$-complement theorem.

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Holdings
Item type	Current library	Call number	Vol info	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	512.23 Is14F (Browse shelf(Opens below))	V.92	Available		G016879

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Previous	512.076 K871P Problem book in algebra	512.2 L977A Algebra :	512.2 T164M Matrix groups for undergraduates	512.23 Is14F Finite group theory /	512.27 H725M Mathematics across the Iron Curtain : a history of the algebraic theory of semigroups /	512.4 Ar77E Endoscopic classification of representations: orthogonal and symplectic groups	512.4 G416R Rings of continuous functions /	Next

Gifted by NBHM

Sylow theory --
Subnormality --
Split extensions --
Commutators --
Transfer --
Frobenius actions --
The Thompson subgroup --
Permutation groups --
More on subnormality --
More transfer theory.

Begins with a review of group actions and Sylow theory. This title includes semidirect products, the Schur-Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, and also Thompson's J-subgroup and his normal $p$-complement theorem.

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