FINITE p-GROUPS IN WHICH THE NORMAL CLOSURES OF THE NON-NORMAL CYCLIC SUBGROUPS HAVE SMALL INDEX

DOI10.1142/S0219498813500874zbMath1292.20019MaRDI QIDQ5401616

Li Bo Zhao, Xiu Yun Guo

Publication date: 10 March 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsregular \(p\)-groupsnon-Dedekind \(p\)-groupsuniqueness bases

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

On finite \textit{NDC}-groups ⋮ Finite p -groups in which the intersection of nonnormal subgroup and center has bounded order ⋮ Finitep-Groups All of Whose Minimal Nonnormal Subgroups Posses Large Normal Closures ⋮ FINITE -GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS HAVE BOUNDED NORMAL CORES ⋮ On finite p-groups with few normal subgroups ⋮ Unnamed Item

Cites Work

• Some finite \(p\)-groups with bounded index of every cyclic subgroup in its normal closure.
• A classification of some regular \(p\)-groups and its applications.
• Groups of prime power order. Vol. 1.
• The Magma algebra system. I: The user language
• On generalized Dedekind groups and Tarski super monsters
• Unnamed Item

This page was built for publication: FINITE p-GROUPS IN WHICH THE NORMAL CLOSURES OF THE NON-NORMAL CYCLIC SUBGROUPS HAVE SMALL INDEX