Papers of Aleksander Ivanov
1991  2014
List of publications
List last modified: 19.06.2014

The structure of strongly abelian locally finite varieties model
companion of which has nonmaximal spectrum
,
In: Proceedings of the Ninth Easter Conference on Model Theory
ed. H.Wolter, Seminarbericht; 112, Berlin, 1991, 6778.

Strongly minimal structures with disitegrated algebraic closure
and structures of bounded valency
,
In: Proceedings of the Tenth Easter Conference on Model Theory,
eds. M.Weese and H.Wolter, Berlin, 1993, 64  69

The structure of superflat graphs
,
Fund. Math. 143(1993) 107  117

Stable absolutely ubiquitous structures
,
Proc. Amer. Math. Soc. 121(1994), 221  224

Some combinatorial aspects of the cover problem for totally
categorical theories
,
In: Automorphisms of FirstOrder Structures, eds. R.Kaye and
H.D.Macpherson. Oxford University Press. 1994. 215  231

Definable secondorder quantifiers and quasivarieties
,
In: Quantifiers: Logics, Models and Computations,vol2,
eds. M.Krynicki at al. Kluwer Academic Publishers.
1995, 115  123

Countably categorical structures with a distributive lattice of
aclclosed subsets
,
In: Logic Colloquium'92, eds.L.Csirmaz, D.M.Gabbay and Maarten
deRijke, CSLI Publications. Stanford, California, 1995, 135  143
 (with D.M.Evans and H.D.Macpherson)
Finite covers
,
In: Model Theory of Groups and Automorphism Groups, ed. D.M.Evans
(London Math. Soc., Lect. Note Series 244), Cambridge University
Press 1997, 1 72

Finite covers with a linking equivalence relation
,
In: Algebra and Model Theory, eds. A.G.Pinus and K.N.Ponomaryov,
NSTU, Novosibirsk 1997, 70  77
"ps"

Finite covers, cohomology and homogeneous stuctures
,
Proc. London Math. Soc. (3) 78(1999), 1  28

Generic expansions of $\omega$categorical structures and semantics
of generalized quantifiers
,
J.Symbolic Logic, 64(1999), no. 2, 775  789
 (with H.D.Macpherson)
Strongly determined types
,
Ann. Pure Appl. Logic 99(1999), 197  230

Finitely generated groups having a finite set of conjugacy classes
meeting all cyclic subgroups
,
Colloq. Math. 82(1999), no. 1, 1  12

Closed groups induced by finitary permutations and their actions on trees
,
Proc. Amer. Math. Soc. 130(2002), 875  882.

Cayley graphs having nice enumerations
,
Israel J. Math. 137(2003), 61  108.

Group actions on pretrees and definability
,
Communications in Algebra 32(2004), no.2, 561  577.
 (with R.Kossak)
Automorphism group actions on trees ,
Mathematical Logic Quarterly 50(2004), no.1, 71  76.

Automorphisms of homogeneous structures ,
Notre Dame Journal of Formal Logic, 46 (2005), no.4, 419  424.

Strongly bounded automorphism groups ,
Colloq. Math., 105(2006), 57  67.
 (with K.Majcher)
Absolutely ubiquitous groups ,
"ps" ,
Algebra and Discrete Mathematics, 2006, number 3, 55  70.
(htpp://adm.luguniv.edu.ua)

Strongly determined types and Gcompactness ,
Fund. Math., 191(2006), 227  247
 (with K.Majcher)
Ages of expansions of $\omega$categorical structures ,
Notre Dame Journal of Formal Logic, 48(2007), no.3, 371  380.
 (with K.Majcher)
Nice enumerations of $\omega$categorical groups ,
Communications in Algebra, 37(2009), no. 7,
2236  2245. ( is based on ArXiv: math.LO/0611515 v 1 16 Nov 2006;
Groups having nice enumerations "pdf" ,
talk at LEulModernComb, 2007)

On omegacategorical groups and their completions ,
The Journal of Group Theory, 13(2010), no.2, 295  314.
( is based on ArXiv: 0811.0070v1 math.LO 1 Nov 2008;
Countably categorical groups and their completions
"pdf" , talk at LC'08;
"Talk, Eilat, 2010" )

A countably categorical theory which is not Gcompact ,
Siberian Advances in Mathematics, 20(2010), 75  82.
( is based on ArXiv: math.LO/0602126 )

Isometry types of profinite groups ,
Geometriae Dedicata, 147 (2010), 87  106.
(is based on ArXiv: 0806.4024v1 math.LO 25 Jun 2008;
Zeta functions corresponding to isometry groups of a rooted tree "pdf" ,
talk at MaLoMath'08)
 (with V.Guirardel)
Nonnesting actions of Polish groups on real trees ,
Jour.Pure and Appl.Algebra, 214(2010), 2074  2077.
(ArXiv: 0911.4200 math.GR; contains a solution to the main problem of
Nonnesting actions of Polish group on pretrees ,
"ps" ArXiv: math.GR/0607358 v 1 14 Jul 2006)

Generating Sym(omega) by permutations preserving dense orders
, ORDER, 28(2011), 267  271.

Products of loxodromic automorphisms of pretrees
, Beitrage zur Algebra
und Geometrie/Contributions to Algebra and Geometry, 53(2012), no. 1,
105  112 (DOI 10.1007/s1336601100671)

The complexity of countable categoricity in finite languages
, Math. Logic Quarterly,
58(2012), no 12, 105  112 (DOI 10.1002/malq.201110035,
is based on arXiv: 1101.3792, 19 Jan 2011)

Degrees of isomorphism types and countably categorical groups
, Archive for Math. Log., 51(2012), 93  98
(DOI 10.1007/s0015301102556,
"talk at NSAC, 2009" )

An omegacategorical structure with amenable automorphism group
, Math. Logic Quarterly, 2015, to appear
(DOI 10.1002/malq.201400036) (available at arXiv:1403.7610)
 Nonnesting actions of groups on real trees vs isometric actions
"pdf" , arXiv:1112.1219
(this material together with papers 27  29 forms a very extended
version of "Nonnesting actions of Polish groups on pretrees", arXiv: 0607358), conference presentation:
talk at A^3 Conference, Eger, 2011

Locally compact groups and continuous logic
"pdf" , arXiv:1206.5473
(conference presentation:
The 9th International Algebraic Conference
in Ukraine, Lviv'2013 , in Russian:
talk at Chernikov, Volkovychski and Vereshiagin conference, Perm, 2012 )
 (with B. MajcherIwanow)
Polish Gspaces and continuous logic ,
arXiv:1304.5135 (conference presentation:
"MT and PT of Arithm.", Będlewo'12; "Hom.Strs",
Prague'12; Vienna,KGRC'13; "Top.Strs and Banach space th.", Eilat'13 )

O problemach Hjortha (Polish, dodatek do 34),
 PDF  01.2015 

Nice enumerations and extreme amenability ,
arXiv:1310.7116

Metric ultraproducts of finite groups with respect to some length functions ,
arXiv:1401.0857

Continuous structures of quantum circuits ,
arXiv:1406.4635

Topological dynamics of automorphism groups of countably categorical structures , arXiv: 1412.6657

Axioms for isometric actions on real trees
"ps" preliminary version

Combinatorial group theory for finite covers
,
preliminary version
"ps"

Definable closure of a free group,
Elementary properties of limit and constructible groups ,
in preparation, some talks:
talk at GRPS and their Actns, Będlewo, 2010 ,
(and extended version: Perm, 2010 ).
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