A finiteness condition on subgroups of large derived length |
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| Authors: | Martyn R Dixon Martin J Evans Howard Smith |
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| Institution: | aDepartment of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA;bDepartment of Mathematics, Bucknell University, Lewisburg, PA 17837, USA |
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| Abstract: | The authors discuss the class Sd(r) of groups in which every finitely generated subgroup is either at most r-generated or soluble of derived length at most d. Such groups need not be of finite rank or soluble of derived length at most d in general. A structure theorem is obtained for locally finite, and for certain locally nilpotent, Sd(r)-groups. |
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| Keywords: | Locally finite Locally nilpotent Finite rank Soluble |
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