Abstract: A finite group G is called (l,m,n)-generated if G can be generated by two elements x and y such that o(x)=l, o(y)=m and o(xy)=n. In [2], generating pairs of the Fischer group Fi23 was determined for all (2, 3, r) triples, where r was a prime divisor of the order of Fi23. In the present article, we extend these results by assuming r to be any odd divisor of In particular, we determine all the (2, 3, n)-generations for the Fischer’s sporadic simple group Fi23, where n is an odd divisor of
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Keywords and phrases: Fischer group Fi23 simple group, generating triple, sporadic group.
Received: February 25, 2024; Accepted: April 8, 2024; Published: April 23, 2024
How to cite this article: Faryad Ali, Naif Alotaibi and Ibrahim Al-Dayel, On Fi23-generations of the Fischer group JP Journal of Algebra, Number Theory and Applications 63(3) (2024), 281-296. https://doi.org/10.17654/0972555524017
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