On Abelian subgroups of \(p\)-groups
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Publication:1379073
DOI10.1006/jabr.1997.7179zbMath0917.20015OpenAlexW2319237559MaRDI QIDQ1379073
Publication date: 2 August 1999
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7179
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)
Related Items (16)
On subgroups of finite \(p\)-groups. ⋮ Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ On finite \(p\)-groups with few nonabelian subgroups of order \(p^p\) and exponent \(p\). ⋮ Finite groups with three nonabelian subgroups ⋮ Subgroup congruences for groups of prime power order ⋮ Nonnormal and minimal nonabelian subgroups of a finite group. ⋮ Some new characteristic p -functors and Thompson’s critical subgroup ⋮ On subgroups of finite \(p\)-groups ⋮ On finite nonabelian 2-groups all of whose minimal nonabelian subgroups are of exponent 4. ⋮ The power structure of locally nilpotent \({p}\)-groups ⋮ Finite \(p\)-groups with few minimal nonabelian subgroups. ⋮ Finite \(2\)-groups with small centralizer of an involution ⋮ The degree and index of a finite group ⋮ Finite 2-groups all of whose maximal cyclic subgroups of composite order are self-centralizing ⋮ Alternate proofs of two theorems of Philip Hall on finite \(p\)-groups, and some related results. ⋮ On subgroups and epimorphic images of finite \(p\)-groups
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