Geodesic
Solvable just-non-cross varieties of groups
Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 115-129 
A. Yu. Ol'shanskii. Solvable just-non-cross varieties of groups. Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 115-129. http://geodesic.mathdoc.fr/item/SM_1971_14_1_a6/
@article{SM_1971_14_1_a6,
     author = {A. Yu. Ol'shanskii},
     title = {Solvable just-non-cross varieties of groups},
     journal = {Sbornik. Mathematics},
     pages = {115--129},
     year = {1971},
     volume = {14},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_14_1_a6/}
}
TY  - JOUR
AU  - A. Yu. Ol'shanskii
TI  - Solvable just-non-cross varieties of groups
JO  - Sbornik. Mathematics
PY  - 1971
SP  - 115
EP  - 129
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1971_14_1_a6/
LA  - en
ID  - SM_1971_14_1_a6
ER  - 
%0 Journal Article
%A A. Yu. Ol'shanskii
%T Solvable just-non-cross varieties of groups
%J Sbornik. Mathematics
%D 1971
%P 115-129
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1971_14_1_a6/
%G en
%F SM_1971_14_1_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

A classification is given for solvable just-non-Cross varieties. It is proved that all such varieties are included in the ones already known (see, for example, H. Neumann's book "Varieties of groups", 1969). Bibliography: 14 titles.

[1] Oates Sheila, M. B. Powell, “Identical relations in finite groups”, J. Algebra. I, 1964, 11–39 | DOI | MR | Zbl

[2] X. Neiman, Mnogoobraziya grupp, Mir, Moskva, 1969 | MR

[3] L. G. Kovács, M. F. Newman, “Just-non-Cross varieties”, Proc. Internal. Conf. Theory of Groups (Austral. Nat. Univ., Canberra, 1965), Gordon and Breach, New York, 1967 | Zbl

[4] N. D. Gupta, M. F. Newman, “On metabelian groups”, J. Austral. Math. Soc., 6 (1966), 362–368 | DOI | MR | Zbl

[5] P. J. Cossey, “On varieties of $A$-groups”, Proc. Internat. Conf. Theory of Groups (Austral. Nat. Univ., Canberra, 1965), Gordon and Breach, New York, 1967

[6] Graham Higman, “Some remarks on varieties of groups”, Quart. J. Math. Oxford (2), 10 (1959), 165–178 | DOI | MR | Zbl

[7] Yu. P. Razmyslov, “Ob engelevykh algebrakh Li”, Algebra i logika (to appear)

[8] L. G. Kovács, “Varieties and the Hall-Higman paper”, Proc. Internat. Conf. Theory of Groups (Austral. Nat. Univ., Canberra 1965), Gordon and Breach, New York, 1967 | MR | Zbl

[9] B. I. Plotkin, Gruppy avtomorfizmov algebraicheskikh sistem, Nauka, Moskva, 1966 | MR | Zbl

[10] M. Kholl, Teoriya grupp, IL, Moskva, 1962

[11] R. Brauer, W. Feit, “An analogue of Jordan's theorem in characteristic $p$”, Ann. Math., 84:1 (1966), 119–131 | DOI | MR | Zbl

[12] Ch. Kertis, I. Rainer, Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, Moskva, 1969 | MR

[13] S. Leng, Algebra, Mir, Moskva, 1968

[14] L. G. Kovács, M. F. Newman, “On non-Cross varieties of groups” (to appear)