Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). II.

DOI10.1007/s11425-013-4735-5zbMath1316.20015OpenAlexW3152252405MaRDI QIDQ2254822

Qinhai Zhang, Lijian An, Li-Li Li, Hai Peng Qu

Publication date: 6 February 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4735-5

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupscyclic extensionsminimal non-Abelian \(p\)-groups\(\mathcal A_t\)-groupssubgroups of index \(p\)

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Related Items (20)

Finite 2-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ The number of conjugacy classes of nonnormal subgroups of finite \(p\)-groups ⋮ At-groups with t + 1 generators ⋮ ISOLATED SUBGROUPS OF FINITE p-GROUPS ⋮ Unnamed Item ⋮ Finite \(p\)-groups whose nonnormal subgroups are metacyclic ⋮ Finite non-solvable groups in which the normalizer of every nonnormal cyclic subgroup is maximal ⋮ Finite \(p\)-groups with a minimal non-Abelian subgroup of index \(p\). I. ⋮ Finite \(p\)-groups whose nonnormal subgroups have orders at most \(p^3\). ⋮ Finite \(p\)-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order \(\leq p\). ⋮ Finite \(p\)-groups whose non-normal subgroups have few orders ⋮ Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). III. ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (II) ⋮ Intersection of maximal subgroups which are not minimal nonabelian of finite p-groups ⋮ Finite \(p\)-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order \(p^3\) ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ Finite p-groups with a minimal non-abelian subgroup of index p (IV) ⋮ The number of conjugacy classes of nonnormal subgroups of finite p-groups (III) ⋮ Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.

Cites Work

• Finite \(p\)-groups all of whose non-Abelian proper subgroups are generated by two elements.
• Groups of prime power order. Vol. 1.
• Finite \(p\)-groups with a minimal non-Abelian subgroup of index \(p\). I.
• Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
• Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). III.
• Finite p-groups with a minimal non-abelian subgroup of index p (V)
• Finite p-groups with a minimal non-abelian subgroup of index p (IV)
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite \(p\)-groups with a minimal non-abelian subgroup of index \(p\). II.