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Bibliography
Items marked with an asterisk are in Russian.
Alperin, J.L. [1] System normalizers and Carter subgroups, J. Algebra, 1964, 1,355-366. [2]Normalizers of system normalizers, Tran. Amer. Math. Soc., 1965, 117,
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[2]Injectors in finite solvable groups, J. Algebra, 1975,36, 333-338. Arad, Z., and Chillag, D.
[1]Injectors of finite soluble groups, Comm. Algebra, 1979,7, 115-138. Asaad, M., and Shaalan, A.
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[2]Engelsche Elemente noetherscher Gruppen, Math. Ann. 1957, 133, 256-270.
[3]Sylowturmgruppen, Math. Z., 1958,69,239-246. [4]Supersoluble immersion, Canad. J. Math., 1959, 11, 353-369. [5]Sylowturmgruppen II, , Math. Z., 1966,92, 256-268. [6]Durch Formationen bestimmte Zerlegungen von Normalteilern endlicher
Gruppen, J. Algebra, 1970, 20, 38-56. Barnes, D.W., and Kegel, O.H.
[1]Gaschiitz functors on finite soluble groups, Math. Z, 1966, 94, 134-142. Bechtell, H.
[1]Locally complemented formations, J. Algebra, 1987, 106,413-429. Beidleman, J.C.
[1]On complementation of the T-residual. Bull. Un. Math. Ital.,1973, 8, 290--292.
Beidleman, J.C., and Brewster, B. [1]Strict normality in Fitting classes I,J. Algebra, 1978, 51, 211-217. [2]Strict normality in Fitting classes II,J. Algebra, 1978, 51, 218-227. [3]Strict normality in Fitting classes III, Comm. Algebra, 1982, 70, 741-
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A abelian group 2 A acts stably in G 108 A acts I-stably in G 108 additive group 2 algebra 232
group abgebra 232 linear 232 over a field 232
algebraic operation 1 autoDlorphisDl 5
inner 19 autoDlorphisDl group 21
outer 19 avoid
M avoids H/K 53
B Baer dispersive group (=Sylow tower group) 49 base group of wreath product 22 basis of free group 169 binary algebraic operation 1 Boolean lattice 228
C Carter subgroup 64 Cartisian product 13 central series
lower 39 upper 39
central chief factor 37
centralizer 11 ,24 center 12 characteristic siDlple group 20 characteristic subgroup 19 chief factor 25
natural homonorphism 9 nilpotent class 39 nilpotent group 36 nilpotent defect 219 normal subgroup 8
F-(I- )hypercentral 90,145 normal closure 40 normal factor 25
F -central 74 F-eccentric 74
normalizer 11
o operator of group 20 operator group 20 operation on class of groups 59 order
of element 15 of group 6 partial 226
outer outomorphism group 19
p
p-( 7r-)closed group 36 pd-( 7rd)-number 30 p-( 7r- ) group 30 p-normal group 56 p-( 7r-) nilpotent group 36 7r-special group 70 p-( 7r-)soluble group 30 7r-separated group 44 p- (7r- )supersoluble group 46
partial order 226 perspective factors 27 principal series 25 primary group 16 primitively closed class 69 primitive group 69 product
of classes of groups 61 direct 13 semidirect 21 subdirect 14 wreath 22