A Classification of Metacyclic 2-Groups
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Publication:5715631
DOI10.1142/S1005386706000058zbMath1095.20009MaRDI QIDQ5715631
Publication date: 4 January 2006
Published in: Algebra Colloquium (Search for Journal in Brave)
Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)
Related Items (26)
On finite 2-equilibrated \(p\)-groups ⋮ A classification of tetravalent half-arc-transitive metacirculants of 2-power orders ⋮ On intersections of two non-incident subgroups of finite \(p\)-groups ⋮ Unnamed Item ⋮ Weak metacirculants of odd prime power order ⋮ The intersection of nonabelian subgroups of finite p-groups ⋮ On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications ⋮ Finite p-Groups All of Whose Subgroups of Index p2 Are Abelian ⋮ Maximal Abelian and minimal nonabelian subgroups of some finite two-generator \(p\)-groups especially metacyclic. ⋮ Finite \(p\)-groups all of whose \(\mathscr{A}_2\)-subgroups are generated by two elements ⋮ Absolutely split metacyclic groups and weak metacirculants ⋮ Finite 2-generator equilibrated \(p\)-groups. ⋮ Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements. ⋮ Finite self dual groups. ⋮ Finite p-Groups of Class 3 All of Whose Proper Sections Have Class at Most 2 ⋮ The subgroups of finite metacyclic groups ⋮ $\mathcal{A}_t$-GROUPS SATISFYING A CHAIN CONDITION ⋮ Finite Two-Generatorp-Groups with Cyclic Derived Group ⋮ Finite \(p\)-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order \(\leq p\). ⋮ Petersen type \(n\)-circulant and weak metacirculant ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ Edge-transitive bi-p-metacirculants of valency p ⋮ Skew-morphisms of cyclic 2-groups ⋮ Finite p-groups all of whose proper subgroups of class 2 are metacyclic ⋮ Classification of skew morphisms of cyclic groups which are square roots of automorphisms ⋮ Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
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