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- W4287688754 abstract "There is a long-standing conjecture attributed to I Schur that if $G$ is a finite group with Schur multiplier $M(G)$ then the exponent of $M(G)$ divides the exponent of $G$. It is easy to see that this conjecture holds for exponent 2 and exponent 3, but it has been known since 1974 that the conjecture fails for exponent 4. In this note I give an example of a group $G$ with exponent 5 with Schur multiplier $M(G)$ of exponent 25, and an example of a group $A$ of exponent 9 with Schur multiplier $M(A)$ of exponent 27." @default.
- W4287688754 created "2022-07-26" @default.
- W4287688754 creator A5012847197 @default.
- W4287688754 date "2020-08-16" @default.
- W4287688754 modified "2023-10-18" @default.
- W4287688754 title "Schur's exponent conjecture -- counterexamples of exponent 5 and exponent 9" @default.
- W4287688754 doi "https://doi.org/10.48550/arxiv.2008.06848" @default.
- W4287688754 hasPublicationYear "2020" @default.
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