Finite $p$-Groups with a Cyclic Subgroup of Index $p^3$
Received:January 20, 2011  Revised:April 25, 2011
Key Words: finite $p$-groups   inner abelian $p$-groups  \ \ metacyclic $p$-groups   regular $p$-groups   irregular $p$-groups.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.\,11071150), the Natural Science Foundation of Shanxi Province (Grant No.\,2012011001-3) and Shanxi Scholarship Council of China (Grant No.\,[2011]8-59).
Author NameAffiliation
Qinhai ZHANG Department of Mathematics, Shanxi Normal University, Shanxi 041004, P. R. China 
Pujin LI Department of Mathematics, Shanxi Normal University, Shanxi 041004, P. R. China 
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Abstract:
      We classify up to isomorphism those finite $p$-groups, for odd primes $p$, which contain a cyclic subgroup of index $p^3$.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.05.001
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