Protasov, Igor V.; Protasova, Ksenia D. Recent progress in subset combinatorics of groups. (English) Zbl 1423.05195 J. Math. Sci., New York 234, No. 1, 49-60 (2018) and Ukr. Mat. Visn. 14, No. 4, 532-547 (2017). MSC: 05E15 05D10 06E15 20A05 20F99 22A05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Protasov, Igor; Slobodianiuk, Sergii Partitions of groups. (English) Zbl 1318.20045 Adv. Appl. Discrete Math. 15, No. 1, 33-60 (2015). MSC: 20F99 20F05 20A05 22A05 03E75 06E15 06E25 05B40 43A07 28C10 37B05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Protasov, I. V.; Slobodyanyuk, S. Thin subsets of groups. (English) Zbl 1343.20036 Ukr. Math. J. 65, No. 9, 1384-1393 (2014) and Ukr. Mat. Zh. 65, No. 9, 1245-1253 (2013). MSC: 20F05 43A46 20A05 03E75 20K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Protasov, I.; Slobodianiuk, S. Partitions of groups. (English) Zbl 1329.20055 Mat. Stud. 42, No. 2, 115-128 (2014). MSC: 20F99 20F05 20A05 22A05 03E75 06E15 06E25 05B40 43A07 37B05 54H11 × Cite Format Result Cite Review PDF
Protasov, Igor V. The combinatorial derivation and its inverse mapping. (English) Zbl 1300.20001 Cent. Eur. J. Math. 11, No. 12, 2176-2181 (2013). Reviewer: Mihail I. Ursul (Oradea) MSC: 20A05 20F99 22A15 43A07 06E15 06E25 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, Igor V. The combinatorial derivation. (English) Zbl 1293.20002 Appl. Gen. Topol. 14, No. 2, 171-178 (2013). Reviewer: Mihail I. Ursul (Oradea) MSC: 20A05 20F99 22A15 20F05 06E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Protasov, Igor V. Selective survey on subset combinatorics of groups. (English. Ukrainian original) Zbl 1283.20029 J. Math. Sci., New York 174, No. 4, 486-514 (2011); translation from Ukr. Mat. Visn. 7, No. 2, 220-257 (2010). MSC: 20F05 22A05 54H11 05B40 43A07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Protasov, Igor Partitions of groups into thin subsets. (English) Zbl 1257.20046 Algebra Discrete Math. 11, No. 2, 78-81 (2011). MSC: 20F99 03E75 03E50 20F05 05D10 × Cite Format Result Cite Review PDF
Banakh, T.; Lyaskovska, N. On thin-complete ideals of subsets of groups. (English. Ukrainian original) Zbl 1278.20044 Ukr. Math. J. 63, No. 6, 865-879 (2011); translation from Ukr. Mat. Zh. 63, No. 6, 741-754 (2011). MSC: 20F05 20A05 22A05 54H11 43A46 06E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lutsenko, Ievgen Thin systems of generators of groups. (English) Zbl 1209.20033 Algebra Discrete Math. 2010, No. 2, 108-114 (2010). MSC: 20F05 20A05 × Cite Format Result Cite Review PDF
Lutsenko, Ievgen; Protasov, Igor Thin subsets of balleans. (English) Zbl 1207.54010 Appl. Gen. Topol. 11, No. 2, 89-93 (2010). Reviewer: Dieter Leseberg (Braunschweig) MSC: 54A25 54E25 05A18 20F60 × Cite Format Result Cite Review PDF
Graham, Colin C.; Hare, Kathryn E. Sets of zero discrete harmonic density. (English) Zbl 1188.43006 Math. Proc. Camb. Philos. Soc. 148, No. 2, 253-266 (2010). Reviewer: Robert Burckel (Manhattan) MSC: 43A46 43A25 43A05 × Cite Format Result Cite Review PDF Full Text: DOI
Protasov, I. V. Small subsets of groups. (English) Zbl 1189.20033 Topology Appl. 156, No. 16, 2651-2658 (2009). Reviewer: Mihail I. Ursul (Oradea) MSC: 20F05 20A15 22A05 54H11 43A07 06E15 03E05 × Cite Format Result Cite Review PDF Full Text: DOI
Lutsenko, Ie.; Protasov, I. V. Sparse, thin and other subsets of groups. (English) Zbl 1186.20024 Int. J. Algebra Comput. 19, No. 4, 491-510 (2009). Reviewer: Mihail I. Ursul (Oradea) MSC: 20F05 20A05 22A05 54H11 43A07 06E15 × Cite Format Result Cite Review PDF Full Text: DOI
Pisier, Gilles Multipliers and lacunary sets in non-amenable groups. (English) Zbl 0853.43008 Am. J. Math. 117, No. 2, 337-376 (1995). Reviewer: M.Leinert (Heidelberg) MSC: 43A22 43A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godefroy, Gilles On coanalytic families of sets in harmonic analysis. (English) Zbl 0703.43005 Ill. J. Math. 35, No. 2, 241-249 (1991). Reviewer: G.Godefroy MSC: 43A46 22E40 × Cite Format Result Cite Review PDF Full Text: Euclid
Chou, Ching Weakly almost periodic functions and thin sets in discrete groups. (English) Zbl 0726.43005 Trans. Am. Math. Soc. 321, No. 1, 333-346 (1990). Reviewer: W.A.F.Ruppert (Wien) MSC: 43A46 43A60 22A15 43A30 43A07 22A10 × Cite Format Result Cite Review PDF Full Text: DOI
Tardivel, Valérie Unicité et synthèse. (Uniqueness and synthesis). (French) Zbl 0701.43012 Publ. Math. Univ. Pierre Marie Curie 91, Exp. No. 16, 8 p. (1988). Reviewer: V.Tardivel MSC: 43A46 43A05 28A05 × Cite Format Result Cite Review PDF
Pestov, V. G. A balance test for locally compact groups. (English. Russian original) Zbl 0663.22004 Ukr. Math. J. 40, No. 1, 109-111 (1988); translation from Ukr. Mat. Zh. 40, No. 1, 127-129 (1988). MSC: 22D05 × Cite Format Result Cite Review PDF Full Text: DOI
Pestov, V. G. A balance criterion for locally compact groups. (Russian) Zbl 0648.22003 Ukr. Mat. Zh. 40, No. 1, 127-129 (1988). Reviewer: M.G.Tkachenko MSC: 22D05 × Cite Format Result Cite Review PDF Full Text: DOI
Harris, David C. Compact sets of divergence for continuous functions on a Vilenkin group. (English) Zbl 0655.43004 Proc. Am. Math. Soc. 98, 436-440 (1986). Reviewer: N.Bozhinov MSC: 43A50 43A70 43A46 43A75 × Cite Format Result Cite Review PDF Full Text: DOI
Eklof, Paul C.; Huber, Martin On \(\omega\)-filtered vector spaces and their application to Abelian p- groups. I. (English) Zbl 0573.20054 Comment. Math. Helv. 60, 145-171 (1985). Reviewer: A.Mader MSC: 20K10 20K45 03E10 20K27 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Godefroy, Gilles Sous-espaces bien disposés de \(L^ 1\) – applications. (French) Zbl 0521.46012 Trans. Am. Math. Soc. 286, 227-249 (1984). MSC: 46B20 46J10 46B10 32A35 43A46 46B25 × Cite Format Result Cite Review PDF Full Text: DOI
Arkhangel’skij, A. V. Über Relationen zwischen den Invarianten topologischer Gruppen und ihren Unterräumen. (Russian) Zbl 0443.22001 Usp. Mat. Nauk 35, No. 3(213), 3-22 (1980). MSC: 22A05 22-02 54A25 × Cite Format Result Cite Review PDF