On Non-commuting Sets in Certain Finite p-Groups

DOI10.1142/S1005386715000474zbMath1338.20027MaRDI QIDQ3459170

He Guo Liu, Yu Lei Wang

Publication date: 21 December 2015

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

zbMATH Keywords

finite \(p\)-groupscentercentral productsgeneralized extraspecial \(p\)-groupsmaximal non-commuting sets

Mathematics Subject Classification ID

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

Related Items (1)

On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits

Cites Work

• The automorphism group of a generalized extraspecial \(p\)-group.
• Some applications of graph theory to finite groups
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• On coverings of a finite group by abelian subgroups

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