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On the density of various classes of groups

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Publication:1052383
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DOI10.1016/0022-314X(83)90003-3zbMath0516.10040MaRDI QIDQ1052383

M. Ram Murty, V. Kumar Murty

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

Abelian groupsnilpotent groupsasymptotic formulacyclic groupssolvable groupssupersolvable groupsisomorphism classes of finite groupslower bound for number of groups of given order


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on counting functions for algebraic and topological structures (11N45)


Related Items (1)

On nilpotent but not abelian groups and abelian but not cyclic groups




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Groups of square-free order are scarce
  • Simple Groups are Scarce
  • Nonsolvable finite groups all of whose local subgroups are solvable
  • AN ENUMERATION THEOREM FOR FINITE GROUPS
  • The Difference between Consecutive Prime Numbers
  • On the density of some sequences of integers




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