• 제목/요약/키워드: self-normalizer

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NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS

  • Zhang, Qinhai;Gao, Juan
    • 대한수학회지
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    • 제49권1호
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    • pp.201-221
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    • 2012
  • Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with ${\mid}N_G(H):H{\mid}=p^i$ for all nonnormal subgroups H are classified up to isomorphism. As a corollary, this answer Problem 116(i) proposed by Y. Berkovich in his book "Groups of Prime Power Order Vol. I" in 2008.