In this article we study percolation on the Cayley graph of a free product of groups. The critical probability pc of a free product G1 * G2 * * Gn of groups is found as a solution of an equation involving only the expected subcritical cluster size of factor groups G1, G2, …, Gn...
The automorphism group of a free product of finite groups DJ Collins - 《Archiv Der Mathematik》 被引量: 9发表: 1988年 Utilizing symmetry when model-checking under fairness assumptions: an automata-theoretic approach One useful technique for combating the state explosion problem is to exploit ...
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We establish a cubic lower bound on the Dehn function of a certain finitely presented subgroup of a direct product of three free groups.doi:10.1515/JGT.2009.012Will DisonDepartment of Mathematics, University Walk, Bristol, BS8 1TW, United Kingdom. E-mail: w.dison@bristol.ac.uk...
These are quantum subgroups of the quantum permutation groups defined by Wang... J Bichon - 《Proceedings of the American Mathematical Society》 被引量: 196发表: 1999年 Presentations of the Automorphism Group of a Free Product The Whitehead method allows one to decide whether two words in a ...
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Two kinds of recurrence relation for the number of subgroups of finite index in a free product of finitely many cyclic groups are given. An asymptotic formula is obtained from the first of these relations. 关键词: Theoretical or Mathematical/ group theory/ free product cyclic groups recurrence re...