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Volume 27, Issue 3
Cyclic Group Action of Composite Order on Indefinite 4-Manifolds

Hongxia Li & Ximin Liu

Commun. Math. Res., 27 (2011), pp. 200-206.

Published online: 2021-05

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  • Abstract

In this paper, we study the possibilities for several kinds of topological, locally linear cyclic group actions of non-prime order on some closed, simply connected 4-manifolds with indefinite intersection form. Especially, we discuss the existence of locally linear pseudofree $C_9$ action on this kind of 4-manifolds.

  • Keywords

periodic map, 4-manifold, indefinite, permutation representation.

  • AMS Subject Headings

57S25, 57M60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-200, author = {Li , Hongxia and Liu , Ximin}, title = {Cyclic Group Action of Composite Order on Indefinite 4-Manifolds}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {3}, pages = {200--206}, abstract = {

In this paper, we study the possibilities for several kinds of topological, locally linear cyclic group actions of non-prime order on some closed, simply connected 4-manifolds with indefinite intersection form. Especially, we discuss the existence of locally linear pseudofree $C_9$ action on this kind of 4-manifolds.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19086.html} }
TY - JOUR T1 - Cyclic Group Action of Composite Order on Indefinite 4-Manifolds AU - Li , Hongxia AU - Liu , Ximin JO - Communications in Mathematical Research VL - 3 SP - 200 EP - 206 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19086.html KW - periodic map, 4-manifold, indefinite, permutation representation. AB -

In this paper, we study the possibilities for several kinds of topological, locally linear cyclic group actions of non-prime order on some closed, simply connected 4-manifolds with indefinite intersection form. Especially, we discuss the existence of locally linear pseudofree $C_9$ action on this kind of 4-manifolds.

Li , Hongxia and Liu , Ximin. (2021). Cyclic Group Action of Composite Order on Indefinite 4-Manifolds. Communications in Mathematical Research . 27 (3). 200-206. doi:
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