Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
1984 ◽
Vol 27
(3)
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pp. 365-370
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Keyword(s):
AbstractLet KG be the group ring of the group G over the field K and U(KG) its unit group. When G is finite we derive conditions which imply that every noncentral subnormal subgroup of U(KG) contains a free group of rank two. We also show that residual nilpotence of U(KG) coincides with nilpotence, this being no longer true if G is infinite.We can answer partially the following question: when is G sub-normal in U(KG)?
1993 ◽
Vol 35
(3)
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pp. 367-379
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Keyword(s):
2007 ◽
Vol 35
(9)
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pp. 2879-2888
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Keyword(s):
2017 ◽
Vol 163
(3)
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pp. 499-531
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Keyword(s):
2011 ◽
Vol 21
(03)
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pp. 409-431
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1985 ◽
Vol 31
(3)
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pp. 355-363
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1949 ◽
Vol 1
(2)
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pp. 187-190
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Keyword(s):
1998 ◽
Vol 41
(2)
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pp. 325-332
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2019 ◽
Vol 12
(2)
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pp. 590-604
2006 ◽
Vol 05
(06)
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pp. 781-791
Keyword(s):
2015 ◽
Vol 159
(1)
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pp. 89-114
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Keyword(s):