Experimenting with infinite groups. I.
Baumslag, Gilbert, Cleary, Sean, Havas, George (2004)
Experimental Mathematics
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Displaying similar documents to “On a question of M. Conder”
Experimenting with infinite groups. I.
On small distances of small 2-groups
Natalia Zhukavets (2001)
Commentationes Mathematicae Universitatis Carolinae
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The paper reports the results of a search for pairs of groups of order that can be placed in the distance for the case when . The constructions that are used are of the general character and some of their properties are discussed as well.
(2,3)-generation of the groups PSL6(q)
Tabakov, K., Tchakerian, K. (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 20F05, 20D06. We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).
On direct sums of -groups – II
Clorinda De Vivo, Claudia Metelli (2006)
Commentationes Mathematicae Universitatis Carolinae
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-groups are a class of torsionfree Abelian groups of finite rank, part of the main class of Butler groups. In the paper C. Metelli, , Comment. Math. Univ. Carolinae (1993), 587–591, the problem of direct sums of -groups was discussed, and a necessary and sufficient condition was given for the direct sum of two -groups to be a -group. While sufficiency holds, necessity was wrongly claimed; we solve here the problem, and in the process study a curious hierarchy among...