Remarks on proficient groups
نویسندگان
چکیده
Article history: Received 29 July 2008 Available online 17 June 2009 Communicated by Peter Webb Dedicated to the memory of Karl Gruenberg
منابع مشابه
ar X iv : 0 90 5 . 02 56 v 1 [ m at h . G R ] 3 M ay 2 00 9 REMARKS ON PROFICIENT GROUPS
If a finite group G has a presentation with d generators and r relations, it is well-known that r−d is at least the rank of the Schur multiplier of G; a presentation is called efficient if equality holds. There is an analogous definition for proficient profinite presentations. We show that many perfect groups have proficient presentations. Moreover, we prove that infinitely many alternating gro...
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