Groups covered by conjugates of proper subgroups.
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Publication:2575691
DOI10.1016/j.jalgebra.2005.02.024zbMath1085.20012OpenAlexW2039497693MaRDI QIDQ2575691
Howard Smith, Giovanni Cutolo, James Wiegold
Publication date: 6 December 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.02.024
locally finite groupsfiniteness conditionsunions of conjugates of subgroupspermutation actions of groups
Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)
Related Items (8)
A note on groups covered by conjugates of a proper subgroup. ⋮ Invariable generation of infinite groups. ⋮ Retracted article: Barely transitivity and hypercentrality in locally finite \(p\)-groups. ⋮ On generalized FC-groups ⋮ On a Commuting Graph on Conjugacy Classes of Groups ⋮ On Finite Number of Conjugacy Classes in Groups ⋮ On Certain Weak Engel-Type Conditions in Groups ⋮ Subgroups of totally imprimitive permutation groups
Cites Work
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- Groups of finitary permutations
- The structure of finitary permutation groups
- The lawlessness of groups of finitary permutations
- Transitive groups with fixed-point free permutations
- Strong finiteness conditions in locally finite groups
- Countable Locally Nilpotent Groups of Finite Exponent without Maximal Subgroups
- Notes on infinite permutation groups
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