Abstract
A group is said to be -generated if it is a quotient group of the triangle group . In 1993 J. Moori posed the question of finding all triples such that a given non-abelian finite simple group is -generated. In this paper we partially answer this question for the Thompson group . In fact we study -generation, where , and are distinct primes, and -complementary generations of the Thompson group .
Acknowledgment
The author would like to thank the referee for his/her helpful remarks. He also would like to thank the University of Kashan for the opportunity of taking a sabbatical leave during which this work was done, and the Department of Mathematics of UMIST for its warm hospitality.
Citation
Ali Reza Ashrafi. "-Generations and -Complementary Generations of the Thompson Group ." SUT J. Math. 39 (1) 41 - 54, January 2003. https://doi.org/10.55937/sut/1059541213
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