Hafta 114–20 Eyl
Group actions ve p-group aileleri
Introduction to group actions and p-groups: - Group actions, orbit-stabilizer theorem and Burnside's counting lemma. - Dihedral, semidihedral, generalized quaternion groups and some extra special p-groups
group actionorbit-stabilizer theoremBurnside's counting lemmaextra special p-groups
Hafta 221–27 Eyl
Sylow teoremleri ve nilpotent gruplar
Sylow Theorems and Nilpotent groups: - Proofs of the Sylow Theorems and the Frattini Argument. - Nilpotent groups and the Fitting Subgroup
Sylow TheoremsFrattini Argumentnilpotent groupsFitting Subgroup
Hafta 328 Eyl – 4 Eki
Non-simplicity teoremleri ve Chermak-Delgado ölçüsü
Some non-simplicity theorems: Brodkey's theorem and introduction to the Chermak-Delgado measure
Brodkey's theoremChermak-Delgado measurenon-simplicity
Hafta 45–11 Eki
Subnormallik: zipper lemma ve Baer teoremi
Subnormality: Wielandt’s zipper lemma and Baer’s theorem
subnormalityWielandt's zipper lemmaBaer's theorem
Hafta 512–18 Eki
Group Extensions ve Schur-Zassenhaus Teoremi
Group extensions and Schur-Zassenhaus Theorem: Extensions and semidirect products, Schur-Zassenhaus Theorem and its applications
group extensionsemidirect productSchur-Zassenhaus Theorem
Hafta 619–25 Eki
Solvable gruplarda Hall ve Carter subgroup
Solvable groups: Hall subgroups and Hall-Higman’ theorem, Carter’s subgroup
Hall subgroupsHall-Higman theoremCarter's subgroupsolvable groups
Hafta 726 Eki – 1 Kas
Coprime action ve Glauberman's lemma
Coprime actions: Glauberman’s lemma and the fixed points of coprime action
coprime actionGlauberman's lemmafixed point
Hafta 82–8 Kas
Midterm ve sınav tekrarı hazırlığı
Midterm and Review: Midterm exam review and preparation
midtermsınav tekrarıhazırlık
Hafta 99–15 Kas
Commutator'lar ve extra special p-group'lar
Commutators: Hall-Witt identity, three subgroups lemma and, extra special p-groups
commutatorsHall-Witt identitythree subgroups lemmaextra special p-groups
Hafta 1016–22 Kas
Transfer homomorphism ve evaluation lemma
Transfer: Transfer homomorphisms and Transfer evaluation lemma
transfertransfer homomorphismtransfer evaluation lemma
Hafta 1123–29 Kas
Fusion: Burnside teoremi ve weakly closed altgruplar
Fusion: Burnside fusion theorem and weakly closed subgroups
fusionBurnside fusion theoremweakly closed subgroup
Hafta 1230 Kas – 6 Ara
Normal p-complement teoremleri
Normal p-complement theorems: Focal subgroup theorem, Frobenius and Burnside normal p-complement theorems
focal subgroup theoremFrobenius normal p-complementBurnside normal p-complement
Hafta 137–13 Ara
Resistant p-group örnekleri ve metacyclic ispatı
Resistant p-groups: Some examples and proof that metacyclic p-groups are resistant when p is odd
resistant p-groupmetacyclic p-groupproof
Hafta 1414–20 Ara
Frobenius grupları ve fixed point free etkiler
Frobenius groups: Fixed point free actions and construction of Frobenius groups
Frobenius groupsfixed point free actions