Elementary Abelian subgroups in 2-groups whose derived subgroups are Klein 4-groups

DOI10.1080/00927872.2023.2217911zbMath1527.20021OpenAlexW4379280549MaRDI QIDQ6094266

Xingzhong Xu, Rui Gao, He Guo Liu

Publication date: 10 October 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2217911

zbMATH Keywords

posetssubgroup complexes

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Truncated Quillen complexes of \(p\)-groups
• Elementary Abelian subgroups in \(p\)-groups with a cyclic derived subgroup.
• Groups of prime power order. Vol. 1.
• Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini. (Homotopy type of lattices and lattices of subgroups of a finite groups)
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Groups of prime power order with derived subgroup of prime order
• Elementary abelian subgroups in some special \(p\)-groups
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Generalizations of Certain Elementary Theorems on p -Groups

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