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Some properties of polynomial subgroup growth groups

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Abstract

A PSG group is one in which the number of subgroups of given index is bounded by a fixed power of this index. The finitely generated PSG groups are known. Here we prove some properties of such groups which need not be finitely generated. We derive, e.g., restrictions on the chief factors (Theorem 1) and on the number of generators of subgroups (Theorem 5).

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Authors and Affiliations

  1. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel

    Avinoam Mann

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  1. Avinoam Mann
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To Wolf Prize laureate John Thompson

Partially supported by a BSF grant.

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Mann, A. Some properties of polynomial subgroup growth groups. Israel J. Math. 82, 373–380 (1993). https://doi.org/10.1007/BF02808119

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  • DOI: https://doi.org/10.1007/BF02808119

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