Characterization of finite \(p\)-groups by their Schur multiplier

DOI10.1007/s12044-018-0419-yzbMath1396.20015arXiv1608.06322OpenAlexW2886418896MaRDI QIDQ1787182

Sumana Hatui

Publication date: 4 October 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06322

zbMATH Keywords

finite \(p\)-groupsSchur multiplier

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15) Projective representations and multipliers (20C25)

Related Items (1)

The Schur multiplier of groups of order \(p^5\)

Uses Software

• GAP
• HAP

Cites Work

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• A note on the Schur multiplier of groups of prime power order.
• On the order of Schur multiplier of non-Abelian \(p\)-groups.
• Characterizing finite \(p\)-groups by their Schur multipliers.
• Finite \(p\)-groups having Schur multiplier of maximum order
• AN IMPROVEMENT OF A BOUND OF GREEN
• On the number of automorphisms of a finite group
• The Groups of Order p 6 (p and Odd Prime)
• A bound for the derived and Frattini subgroups of a prime-power group
• On the schur multiplier ofp-groups
• On the order of schur multipliers of finitep- groups
• A bound on the Schur multiplier of a prime-power group
• Some Inequalities for the Multiplicator of a Finite Group

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