The laitinen conjecture for finite non-solvable groups

Krzysztof Pawałowski, Toshio Sumi

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

抄録

For any finite group G, we impose an algebraic condition, the G nil-coset condition, and prove that any finite Oliver group G satisfying the G nil-coset condition has a smooth action on some sphere with isolated fixed points at which the tangent G-modules are not isomorphic to each other. Moreover, we prove that, for any finite non-solvable group G not isomorphic to Aut(A 6) or PΣL(2, 27), the G nil-coset condition holds if and only if rG ≥ 2, where rG is the number of real conjugacy classes of elements of G not of prime power order. As a conclusion, the Laitinen Conjecture holds for any finite non-solvable group not isomorphic to Aut(A 6).

元の言語英語
ページ(範囲)303-336
ページ数34
ジャーナルProceedings of the Edinburgh Mathematical Society
56
発行部数1
DOI
出版物ステータス出版済み - 2 1 2013

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Nil
Coset
Isomorphic
Conjugacy class
Tangent line
Finite Group
Fixed point
If and only if
Module

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

The laitinen conjecture for finite non-solvable groups. / Pawałowski, Krzysztof; Sumi, Toshio.

:: Proceedings of the Edinburgh Mathematical Society, 巻 56, 番号 1, 01.02.2013, p. 303-336.

研究成果: ジャーナルへの寄稿記事

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