A bound on the Schur multiplier of a prime-power group

Author:

Ellis Graham,Wiegold James

Abstract

The paper improves on an upper bound for the order of the Schur multiplier of a finite p-group given by Wiegold in 1969. The new bound is applied to the problem of classifying p-groups according to the size of their Schur multipliers.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 18 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras;Journal of Algebra;2024-04

2. Bounds on the order of the Schur multiplier of p-groups;Journal of Pure and Applied Algebra;2024-01

3. The maximum number of triangles in a graph and its relation to the size of the Schur multiplier of special p-groups;Communications in Algebra;2023-02-13

4. Classification of Finite p-Groups by the Size of Their Schur Multipliers;Bulletin of the Malaysian Mathematical Sciences Society;2022-06-29

5. c-Nilpotent Multiplier of Finite p-Groups;Bulletin of the Malaysian Mathematical Sciences Society;2019-01-13

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