On the product of a nilpotent group and a group with non-trivial center.

DOI10.1016/J.JALGEBRA.2007.01.009zbMath1141.20010OpenAlexW2010182939MaRDI QIDQ877696

Bernhard Amberg, Lev S. Kazarin

Publication date: 3 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.01.009

zbMATH Keywords

centresfinite simple groupsnilpotent groupsprime graphsfactorizable groupsAbelian normal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

COPRIME CONJUGACY CLASS SIZES ⋮ Finite Groups with Four Conjugacy Class Sizes ⋮ Factorizations of groups and related topics.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über Produkte von nilpotenten Gruppen
• Produkte nilpotenter Gruppen
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• The factorisation of the alternating and symmetric groups
• Prime graph components of finite groups
• Products of groups with cyclic Sylow \(p\)-subgroups and groups with nontrivial centers
• A generalization of prime graphs of finite groups
• Criteria for the solubility and non-simplicity of finite groups.
• A proof of Szep's conjecture on nonsimplicity of certain finite groups
• Über das Produkt von zwei abelschen Gruppen
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• The maximal factorizations of the finite simple groups and their automorphism groups
• The local structure of finite groups of characteristic 2 type
• On groups which are the product of two solvable subgroups
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• p-SOLVABILITY AND A GENERALIZATION OF PRIME GRAPHS OF FINITE GROUPS
• ON A PROBLEM OF SZÉP
• Endliche Gruppen I
• Prime graph components of the simple groups of Lie type over the field of even characteristic

This page was built for publication: On the product of a nilpotent group and a group with non-trivial center.