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AAA63-Workshop on General Algebra (63. Arbeitstagung Allgemeine Algebra) combined with CYA17-Conference of Young Algebraists (17. Tagung junger Algebraiker)
February 22-24, 2002
University of Kaiserslautern, Department of Mathematics
Kaiserslautern, Germany

Organizers
Dietmar Schweigert

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(p, q, r)-Generations and nX-Complementary Generations of some Sporadic Groups
by
Ali Reza Ashrafi
Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran.

A finite group G is (l, m, n)-generated if it is a quotient group of the triangle group T(l, m, n) = <x, y, z | xl = ym = zn = xyz = 1 >. Suppose that nX is a conjugacy class of elements of order n in the group G. G is called nX - complementary generated if, for any arbitrary x in G - { 1 }, there is a y in nX such that G= < x, y > .

In some research papers the problem is posed to find all possible (l, m, n)- and nX-complementary generations for the non-abelian finite simple groups. In this talk we report on (p, q, r)-generations and nX-complementary generations, p, q and r are distinct primes, for some sporadic groups.

Keywords and Phrases: (p, q, r)-generation, nX- complementary generation, sporadic group, triangle group.

Date received: December 5, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caht-03.