On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal
A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators. If there is not such $r$, then we say that $G$ has infinite special rank. In this paper, we study generalized radical non-abelian groups of infinite special rank whose subgroups of infinite special rank are transitively normal.
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2011 ◽
Vol 10
(03)
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pp. 377-389
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1969 ◽
Vol 21
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pp. 702-711
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1996 ◽
Vol 39
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pp. 294-307
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1969 ◽
Vol 21
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pp. 684-701
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