A classification of some regular \(p\)-groups and its applications.

DOI10.1007/s11425-006-0366-4zbMath1119.20022OpenAlexW1899878621MaRDI QIDQ862683

Qiangwei Song, Qinhai Zhang, Ming-Yao Xu

Publication date: 24 January 2007

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

Full work available at URL: https://doi.org/10.1007/s11425-006-0366-4

zbMATH Keywords

finite \(p\)-groupsregular \(p\)-groups

Mathematics Subject Classification ID

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

Related Items (13)

Modular group algebras of Lie nilpotency index 8p − 6 ⋮ Semisymmetric graphs of order twice prime powers with the same prime valency ⋮ A note on an “Anzahl” theorem of P. Hall ⋮ FINITE p-GROUPS IN WHICH THE NORMAL CLOSURES OF THE NON-NORMAL CYCLIC SUBGROUPS HAVE SMALL INDEX ⋮ Unnamed Item ⋮ Finite \(p\)-groups with a class of complemented normal subgroups ⋮ CHARACTERIZATION OF FINITE p-GROUPS BY THEIR SCHUR MULTIPLIERS ⋮ Finite Two-Generatorp-Groups with Cyclic Derived Group ⋮ On Hua-Tuan's conjecture. II. ⋮ Finite \(p\)-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order \(\leq p\). ⋮ Finite \(p\)-groups whose length of chain of nonnormal subgroups is at most 2 ⋮ A note on the upper Lie nilpotency index of a group algebra ⋮ Tetravalent half-arc-transitive graphs of order \(p^5\)

Cites Work

• A theorem on metabelian p-groups and some consequences
• The groups of exponent p and order \(p^ 7\) (p any prime)
• A classification of regular \(p\)-groups with invariants \((e,2,1)\)
• Groups and nilpotent Lie rings whose order is the sixth power of a prime.
• Über das Produkt von paarweise vertauschbaren zyklischen Gruppen
• P.hall’ theorem for regularp-groups and its application to some classification problems
• The Groups of Order p 6 (p and Odd Prime)
• A Contribution to the Theory of Groups of Prime-Power Order
• Endliche Gruppen I

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