The Schur property and groups with uniform conjugacy classes

DOI10.1006/JABR.1995.1155zbMath0831.20043OpenAlexW2050881045MaRDI QIDQ1895588

Francesco de Giovanni, Silvana Franciosi, Leonid A. Kurdachenko

Publication date: 11 December 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1155

zbMATH Keywords

polycyclic groupsChernikov groupsboundedly finite conjugacy classessoluble minimax groupsSchur classesbounded conjugacy classesgroups with finite section ranksoluble-by-finite groups of finite rankuniform conjugacy classes

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Commutator calculus (20F12) FC-groups and their generalizations (20F24)

Related Items (20)

GROUPS IN WHICH THE NORMAL CLOSURES OF CYCLIC SUBGROUPS HAVE FINITE SECTION RANK ⋮ Relationships between the factors of the upper and the lower central series of a group ⋮ ON MODULES OVER GROUP RINGS OF LOCALLY SOLUBLE GROUPS WITH RANK RESTRICTIONS ON SOME SYSTEMS OF SUBGROUPS ⋮ Unnamed Item ⋮ Linear groups with rank restrictions on the subgroups of infinite central dimension. ⋮ Unnamed Item ⋮ The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group. ⋮ An extension of a theorem by B. H. Neumann on groups with boundedly finite conjugacy classes. ⋮ Unnamed Item ⋮ GROUPS WITH A LARGE PERMUTABLY EMBEDDED SUBGROUP ⋮ Extension of a Schur theorem to groups with a central factor with a bounded section rank. ⋮ On profinite groups in which commutators are covered by finitely many subgroups. ⋮ On the relationships between central series in some locally finite groups ⋮ Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks ⋮ The ranks of central factor and commutator groups ⋮ On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups. ⋮ On a class of modules that are close to Noetherian. ⋮ FC-Groups whose central factor group can be embedded in a direct product of finite groups ⋮ On some properties of the upper central series in Leibniz algebras ⋮ On a generalization of Baer Theorem

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