Finite 2-groups with index of every cyclic subgroup in its normal closure no greater than 4.

DOI10.1016/j.jalgebra.2011.06.024zbMath1241.20025OpenAlexW2086233545MaRDI QIDQ661382

Heng Lv, Wei Zhou, Xiu Yun Guo

Publication date: 10 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.06.024

zbMATH Keywords

finite 2-groupsnormal closures\(p\)-groups of maximal class

Mathematics Subject Classification ID

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

Related Items (4)

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 ⋮ Finite Groups with Small Normal Closure of Cyclic Subgroups

Cites Work

• Nonnormal and minimal nonabelian subgroups of a finite group.
• Some finite \(p\)-groups with bounded index of every cyclic subgroup in its normal closure.
• On a special class of \(p\)-groups
• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• On generalized Dedekind groups.
• On generalized Dedekind groups and Tarski super monsters
• Sur les commutateurs
• A Contribution to the Theory of Groups of Prime-Power Order
• Endliche Gruppen I

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