Groups with Identical k-Profiles

نویسندگان

  • George Glauberman
  • Lukasz Grabowski
چکیده

We show that for 1≤ k ≤ √ 2log3 n− (5/2), the multiset of isomorphism types of k-generated subgroups does not determine a group of order at most n. This answers a question raised by Tim Gowers in connection with the Group Isomorphism problem. ACM Classification: F.2.2 AMS Classification: 68Q17, 20D15, 20F69, 68Q25

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عنوان ژورنال:
  • Theory of Computing

دوره 11  شماره 

صفحات  -

تاریخ انتشار 2015