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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On the action of $\Theta ^{n}$. I
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by H. E. Winkelnkemper PDF
Trans. Amer. Math. Soc. 206 (1975), 339-346 Request permission

Abstract:

We prove two theorems about the inertia groups of closed, smooth, simply-connected $n$-manifolds. Theorem A shows that, in certain dimensions, the special inertia group, unlike the full inertia group, can never be equal to ${\Theta ^n}$; Theorem B shows, in $\operatorname {dimensions} \equiv 3\bmod 4$, how to construct explicit closed $n$-manifolds ${M^n}$ such that $\Theta (\partial \pi )$ is contained in the inertia group of ${M^n}$.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 206 (1975), 339-346
  • MSC: Primary 57D60
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0413136-6
  • MathSciNet review: 0413136