SCHREIER CONDITIONS ON CHIEF FACTORS AND RESIDUALS OF SOLVABLE-LIKE GROUP FORMATIONS
2008 ◽
Vol 78
(1)
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pp. 97-106
Keyword(s):
AbstractLet α be a formation of finite groups which is closed under subgroups and group extensions and which contains the formation of solvable groups. Let G be any finite group. We state and prove equivalences between conditions on chief factors of G and structural characterizations of the α-residual and theα-radical of G. We also discuss the connection of our results to the generalized Fitting subgroup of G.
2019 ◽
Vol 109
(3)
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pp. 340-350
2010 ◽
Vol 81
(2)
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pp. 317-328
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1982 ◽
Vol 25
(1)
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pp. 19-20
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1964 ◽
Vol 16
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pp. 435-442
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Keyword(s):
1974 ◽
Vol 18
(3)
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pp. 262-264
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2009 ◽
Vol 52
(1)
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pp. 145-150
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Keyword(s):
Keyword(s):