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- Universidade de BrasíliaBR10 papers
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- École Polytechnique Fédérale de LausanneCH7 papers
- Sobolev Institute of MathematicsRU7 papers
- University of CambridgeGB7 papers
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- Centre National de la Recherche ScientifiqueFR6 papers
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4 papers · 2 filters
Locally finite groups containing a -element with Chernikov centralizer
E. I. Khukhro, N. Yu. Makarenko, P. Shumyatsky
Suppose that a locally finite group has a -element with Chernikov centralizer. It is proved that if the involution in has nilpotent centralizer, then…
A product for permutation groups and topological groups
Simon M. Smith
We introduce a new product for permutation groups. It takes as input two permutation groups, M and N, and produces an infinite group M [X] N which carries many of the permutational…
On the length of finite factorized groups
E. I. Khukhro, P. Shumyatsky
The nonsoluble length of a finite group is defined as the number of nonsoluble factors in a shortest normal series each of whose factors either is soluble or is a direct…
On the length of finite groups and of fixed points
E. I. Khukhro, P. Shumyatsky
The generalized Fitting height of a finite group is the least number such that , where the is the generalized Fitting series: $F^*_1(G)=F^*(G)…