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On groups with all proper subgroups of finite exponent
-
Ahmet Arıkan
and
Howard Smith
Published/Copyright:
September 1, 2011
Abstract
We consider minimal non-(finite exponent) groups and give certain characterizations of these groups. We also prove certain results relevant to Fitting p-groups with all proper subgroups solvable.
Received: 2010-06-16
Revised: 2010-10-07
Published Online: 2011-September
Published in Print: 2011-September
© de Gruyter 2011
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Articles in the same Issue
- A proof that Thompson's groups have infinitely many relative ends
- Quadratic properties in group amalgams
- Stabilizers of ℝ-trees with free isometric actions of FN
- On factorizations of finite groups with ℱ-hypercentral intersections of the factors
- On the involution module of SL2(2ƒ)
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- Lattice-defined classes of finite groups with modular Sylow subgroups
- On groups with all proper subgroups of finite exponent
- A case-free characterization of hyperbolic Coxeter systems
- Corrigendum: Some class size conditions implying solvability of finite groups
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