A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
(3, 𝑞, 𝑟)-generations of Fischer's sporadic group Fi′24

2019
*
Journal of group theroy
*

A group G is said to be {(l,m,n)} -generated if it can be generated by two suitable elements x and y such that {o(x)=l} , {o(y)=m} and {o(xy)=n} . In [J. Moori, {(p,q,r)} -generations for the Janko groups {J_{1}} and {J_{2}} , Nova J. Algebra Geom. 2 1993, 3, 277–285], J. Moori posed the problem of finding all triples of distinct primes {(p,q,r)} for which a finite non-abelian simple group is {(p,q,r)} -generated. In the present article, we partially answer this question for Fischer's largest

doi:10.1515/jgth-2018-0104
fatcat:rlujbj2c75d3vhkomx6ya3r5m4