The exponent of a group: properties, computations and applications

DOI10.1007/978-3-030-55857-4_4OpenAlexW3108060986MaRDI QIDQ2232030

George C. Ţurcaş, Sorin Rădulescu, Dorin Andrica

Publication date: 4 October 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-55857-4_4

zbMATH Keywords

automorphism groupdihedral groupsymmetric groupgroup actionFrobenius theoremalternating groupdirect productBurnside lemmaKummer's theoremexponent of group\textbf{fe}-groupHeisenberg matrix groupLandau function \(g(n)\)Prüfer \(p\)-group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Symmetric groups (20B30) General theory for finite permutation groups (20B05)

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