Schur's exponent conjecture - counterexamples of exponent 5 and exponent 9

Document Type : Research Paper

Author

Oxford University Mathematical Institute, United Kingdom

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. In this note I give an example of a four generator group G of order 54122 with exponent 5, where the Schur multiplier M(G) has exponent 25.

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