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  1. Proceedings of the Steklov Institute of Mathematics
  2. Proceedings of the Steklov Institute of Mathematics : Volume 285
  3. Proceedings of the Steklov Institute of Mathematics : Volume 285, Issue 1, Supplement,June 2014
  4. Groups with finitary classes of conjugate elements
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Proceedings of the Steklov Institute of Mathematics : Volume 296
Proceedings of the Steklov Institute of Mathematics : Volume 295
Proceedings of the Steklov Institute of Mathematics : Volume 294
Proceedings of the Steklov Institute of Mathematics : Volume 293
Proceedings of the Steklov Institute of Mathematics : Volume 292
Proceedings of the Steklov Institute of Mathematics : Volume 291
Proceedings of the Steklov Institute of Mathematics : Volume 290
Proceedings of the Steklov Institute of Mathematics : Volume 289
Proceedings of the Steklov Institute of Mathematics : Volume 288
Proceedings of the Steklov Institute of Mathematics : Volume 287
Proceedings of the Steklov Institute of Mathematics : Volume 286
Proceedings of the Steklov Institute of Mathematics : Volume 285
Proceedings of the Steklov Institute of Mathematics : Volume 285, Issue 1, August 2014
Proceedings of the Steklov Institute of Mathematics : Volume 285, Issue 1, Supplement,June 2014
Aleksandr Alekseevich Makhnev
Small ranks of central unit groups of integral group rings of alternating groups
On groups with relatively small normalizers of nonabelian subgroups
On control of the prime spectrum of a finite simple group
Groups with finitary classes of conjugate elements
Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints
On the vertex connectivity of Deza graphs
Strictly Deza line graphs
On Ditsman’s lemma
Finite groups having the same prime graph as the group A $_{10}$
On the behavior of elements of prime order from Singer cycles in representations of special linear groups
On Cameron’s question about primitive permutation groups with stabilizer of two points that is normal in the stabilizer of one of them
On strongly regular graphs with eigenvalue μ and their extensions
Classification of maximal subgroups of odd index in finite groups with alternating socle
Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements
Groups lying between steinberg groups over nonperfect fields of characteristics 2 and 3
On the σ-countable compactness of spaces of continuous functions with the set-open topology
On uniform permutations with finite dispersion parameters
The finiteness of the number of symmetrical 2-extensions of the d-dimensional grid and similar graphs
On intersections of solvable Hall subgroups in finite simple exceptional groups of Lie type
Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup
On intersections of nilpotent subgroups in finite symmetric and alternating groups
Periodic groups acting freely on abelian groups
Proceedings of the Steklov Institute of Mathematics : Volume 284
Proceedings of the Steklov Institute of Mathematics : Volume 283
Proceedings of the Steklov Institute of Mathematics : Volume 282
Proceedings of the Steklov Institute of Mathematics : Volume 281
Proceedings of the Steklov Institute of Mathematics : Volume 280
Proceedings of the Steklov Institute of Mathematics : Volume 279
Proceedings of the Steklov Institute of Mathematics : Volume 278
Proceedings of the Steklov Institute of Mathematics : Volume 277
Proceedings of the Steklov Institute of Mathematics : Volume 276
Proceedings of the Steklov Institute of Mathematics : Volume 275
Proceedings of the Steklov Institute of Mathematics : Volume 274
Proceedings of the Steklov Institute of Mathematics : Volume 273
Proceedings of the Steklov Institute of Mathematics : Volume 272
Proceedings of the Steklov Institute of Mathematics : Volume 271
Proceedings of the Steklov Institute of Mathematics : Volume 270
Proceedings of the Steklov Institute of Mathematics : Volume 269
Proceedings of the Steklov Institute of Mathematics : Volume 268
Proceedings of the Steklov Institute of Mathematics : Volume 267
Proceedings of the Steklov Institute of Mathematics : Volume 266
Proceedings of the Steklov Institute of Mathematics : Volume 265
Proceedings of the Steklov Institute of Mathematics : Volume 264
Proceedings of the Steklov Institute of Mathematics : Volume 263
Proceedings of the Steklov Institute of Mathematics : Volume 262
Proceedings of the Steklov Institute of Mathematics : Volume 261
Proceedings of the Steklov Institute of Mathematics : Volume 260
Proceedings of the Steklov Institute of Mathematics : Volume 259
Proceedings of the Steklov Institute of Mathematics : Volume 258
Proceedings of the Steklov Institute of Mathematics : Volume 257
Proceedings of the Steklov Institute of Mathematics : Volume 256
Proceedings of the Steklov Institute of Mathematics : Volume 255
Proceedings of the Steklov Institute of Mathematics : Volume 254
Proceedings of the Steklov Institute of Mathematics : Volume 253
Proceedings of the Steklov Institute of Mathematics : Volume 252

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Groups with finitary classes of conjugate elements

Content Provider Springer Nature Link
Author Belyaev, V. V.
Copyright Year 2014
Abstract A class of conjugate elements of a group is called finitary if the conjugation action of the group induces a group of finitary permutations of this class. A group with finitary classes of conjugate elements will be called a ΦC-group. Some characterizations of ΦC-groups in the class of all groups have been obtained. It is also shown for every ΦC-group that either it is an FC-group, i.e., a group with finite classes of conjugate elements, or its structure is close to the structure of a totally imprimitive group of finitary permutations.
Starting Page 42
Ending Page 57
Page Count 16
File Format PDF
ISSN 00815438
Journal Proceedings of the Steklov Institute of Mathematics
Volume Number 285
Issue Number 1
e-ISSN 15318605
Language English
Publisher Pleiades Publishing
Publisher Date 2014-06-25
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword finitary permutation groups generalized FC-groups Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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