2017–18–B
Emeritus Prof Yoav Segev
Course topics
Permutation representation and the Sylow theorems; Representations of groups on groups, solvable groups, nilpotent groups, semidirect and central products; Permutation groups, the symmetric and alternating groups; The generalized Fitting subgroup of a finite group; p-groups; Extension of groups: The first and second cohomology and applications.
Requirements and grading
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Permutation representation and the Sylow theorems.
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Representations of groups on groups, solvable groups, nilpotent groups, semidirect and central products.
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Permutation groups, the symmetric and alternating groups.
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The generalized Fitting subgroup of a finite group.
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$p$-groups.
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Extension of groups: The first and second cohomology and applications.