Geodesic
On Abelian groups close to $E$-solvable groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 183-219.

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$E$-nilpotent and $E$-solvable Abelian groups are studied. The properties of such groups are studied and examples illustrating the differences and connections between the investigated classes of groups have been presented. The structure of $E$-solvable periodical, completely decomposable, coperiodic, split mixed, and other groups is shown. 
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A. R. Chekhlov. On Abelian groups close to $E$-solvable groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 183-219. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a18/

[1] Burbaki N., Gruppy i algebry Li, Mir, M., 1976 | MR

[2] Grinshpon S. Ya., “O stroenii vpolne kharakteristicheskikh podgrupp abelevykh grupp bez krucheniya”, Abelevy gruppy i moduli, Tomsk, 1981, 56–92 | MR | Zbl

[3] Krylov P. A., Mikhalëv A. V., Tuganbaev A. A., Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial, M., 2006

[4] Krylov P. A., Chekhlov A. R., “Abelevy gruppy bez krucheniya s bolshim chislom endomorfizmov”, Tr. In-ta mat. i mekh., 7, no. 2, 2001, 194–207 | MR | Zbl

[5] Tuganbaev A. A., Teoriya kolets (arifmeticheskie moduli i koltsa), MTsNMO, M., 2009

[6] Feis K., Algebra: koltsa, moduli i kategorii, v. 2, Mir, M., 1979 | MR

[7] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974; т. 2, 1977

[8] Chekhlov A. R., “Peresechenie pryamykh slagaemykh abelevykh $p$-grupp”, Abelevy gruppy i moduli, Tomsk, 1981, 240–244 | MR

[9] Chekhlov A. R., “O nekotorykh klassakh abelevykh grupp”, Abelevy gruppy i moduli, Tomsk, 1984, 137–152 | MR

[10] Chekhlov A. R., “Ob abelevykh gruppakh bez krucheniya, blizkikh k kvaziservantno in'ektivnym”, Abelevy gruppy i moduli, Tomsk, 1985, 117–127

[11] Chekhlov A. R., “O kvaziservantno in'ektivnykh abelevykh gruppakh bez krucheniya”, Izv. vyssh. uchebn. zaved. Matematika, 1988, no. 6, 80–83 | MR | Zbl

[12] Chekhlov A. R., “Svyaznye kvaziservantno in'ektivnye abelevy gruppy”, Izv. vyssh. uchebn. zaved. Matematika, 1989, no. 10, 84–87 | MR | Zbl

[13] Chekhlov A. R., “O pryamykh proizvedeniyakh i pryamykh summakh abelevykh $QCPI$-grupp bez krucheniya”, Izv. vyssh. uchebn. zaved. Matematika, 1990, no. 4, 58–67 | MR | Zbl

[14] Chekhlov A. R., “Ob abelevykh $CS$-gruppakh bez krucheniya”, Izv. vyssh. uchebn. zaved. Matematika, 1990, no. 3, 84–87 | MR | Zbl

[15] Chekhlov A. R., “Abelevy gruppy bez krucheniya konechnogo $p$-ranga s dopolnyaemymi zamknutymi servantnymi podgruppami”, Abelevy gruppy i moduli, Tomsk, 1991, 157–178 | MR

[16] Chekhlov A. R., “Kvaziservantno in'ektivnye gruppy bez krucheniya s nerazlozhimymi servantnymi podgruppami”, Mat. zametki, 68:4 (2000), 587–592 | DOI | MR | Zbl

[17] Chekhlov A. R., “Vpolne tranzitivnye gruppy bez krucheniya konechnogo $p$-ranga”, Algebra i logika, 40:6 (2001), 698–715 | MR | Zbl

[18] Chekhlov A. R., “O razlozhimykh vpolne tranzitivnykh gruppakh bez krucheniya”, Sib. mat. zhurn., 42:3 (2001), 714–719 | MR | Zbl

[19] Chekhlov A. R., “Ob odnom klasse endotranzitivnykh grupp”, Mat. zametki, 69:6 (2001), 944–949 | DOI | MR | Zbl

[20] Chekhlov A. R., “O kvazipolnykh smeshannykh gruppakh”, Fundament. i prikl. mat., 8:4 (2002), 1215–1224 | MR | Zbl

[21] Chekhlov A. R., “O slabo kvaziservantno in'ektivnykh gruppakh”, Mat. zametki, 81:3 (2007), 434–447 | DOI | MR | Zbl

[22] Chekhlov A. R., “O podgruppakh abelevykh grupp, invariantnykh otnositelno proektsii”, Fundament. i prikl. mat., 14:6 (2008), 211–218 | MR

[23] Chekhlov A. R., “Svoistva podgrupp abelevykh grupp, invariantnykh otnositelno proektsii”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2008, no. 1(2), 76–82

[24] Chekhlov A. R., “O proektivno invariantnykh podgruppakh abelevykh grupp”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2009, no. 1(5), 31–36

[25] Chekhlov A. R., “O skobke Li endomorfizmov abelevykh grupp”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2009, no. 2(6), 78–84

[26] Chekhlov A. R., “Ob abelevykh gruppakh s normalnym koltsom endomorfizmov”, Algebra i logika, 48:4 (2009), 520–539 | MR | Zbl

[27] Chekhlov A. R., “Separabelnye i vektornye gruppy, proektivno invariantnye podgruppy kotorykh vpolne invariantny”, Sib. mat. zhurn., 50:4 (2009), 942–953 | MR | Zbl

[28] Chekhlov A. R., “$E$-nilpotentnye i $E$-razreshimye abelevy gruppy klassa 2”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2010, no. 1(9), 59–71

[29] Chekhlov A. R., “$E$-razreshimye moduli”, Fundament. i prikl. mat., 16:7 (2010), 221–236 | MR

[30] Chekhlov A. R., “Nekotorye primery $E$-razreshimykh grupp”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2010, no. 3(11), 69–76

[31] Chekhlov A. R., “O kommutatorno invariantnykh podgruppakh abelevykh grupp”, Sib. mat. zhurn., 51:5 (2010), 1163–1174 | MR | Zbl

[32] Chekhlov A. R., “On mixed cs-groups”, Acta Appl. Math., 85 (2005), 75–85 | DOI | MR | Zbl

[33] Chekhlov A. R., Krylov P. A., “On L. Fuchs' problems 17 and 43”, J. Math. Sci., 143:5 (2007), 3517–3602 | DOI | MR | Zbl