• Title/Summary/Keyword: metacyclic p-groups

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CONJUGACY CLASSES OF SUBGROUPS OF SPLIT METACYCLIC GROUPS OF PRIME POWER ORDER

  • Sim, Hyo-Seob
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.719-726
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    • 1998

  • In this paper, we consider conjugacy of subgroups of some split metacyclic groups of odd prime power order to determine the numbers of conjugacy classes of subgroups of those groups. The study was motivated by the linear isomorphism problem of metacyclic primitive linear groups.

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DEFICIENCY ZERO NON-METACYCLIC p-GROUPS OF ORDER LESS THAN 1000

  • Jamali, Ali-Reza
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.303-306
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    • 2004

  • There are 49 non-metacyclic p-groups of order less than 1000 with trivial Schur multiplier. In this paper we give a list of deficiency zero presentations for these groups.