article published Reiner Lauterbach author Sören Schwenker author 973590000-0002-8054-2058 In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in previous papers we find new infinite series of finite groups leading to such counterexamples. These new series are quite different from the previous ones, for example the group orders do not form an arithmetic progression. However, as before we find Lie groups which contain all these groups. This additional structure was observed, but not used in the previous studies of this problem. Here we also investigate the related bifurcations. To a large extent, these are closely related to the presence of mentioned compact Lie group containing the finite groups. This might give a tool to study the bifurcations related to all low dimensional counterexamples of the Ize conjecture. It also gives an indication of where we can expect to find examples where the bifurcation behaviour is different from what we have seen in the known examples. Informa UK Limited2016 eng Computer Science ApplicationsGeneral Mathematics 1468-9367 1468-9375 1511.0054510.1080/14689367.2016.1219696 321117-147 yes Lauterbach, R., &#38; Schwenker, S. (2016). Equivariant bifurcations in four-dimensional fixed point spaces. <i>Dynamical Systems</i>, <i>32</i>(1), 117–147. <a href="https://doi.org/10.1080/14689367.2016.1219696">https://doi.org/10.1080/14689367.2016.1219696</a> R. Lauterbach and S. Schwenker, “Equivariant bifurcations in four-dimensional fixed point spaces,” <i>Dynamical Systems</i>, vol. 32, no. 1, pp. 117–147, 2016, doi: <a href="https://doi.org/10.1080/14689367.2016.1219696">10.1080/14689367.2016.1219696</a>. R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147. Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” <i>Dynamical Systems</i> 32, no. 1 (2016): 117–47. <a href="https://doi.org/10.1080/14689367.2016.1219696">https://doi.org/10.1080/14689367.2016.1219696</a>. Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” <i>Dynamical Systems</i>, vol. 32, no. 1, Informa UK Limited, 2016, pp. 117–47, doi:<a href="https://doi.org/10.1080/14689367.2016.1219696">10.1080/14689367.2016.1219696</a>. Lauterbach R, Schwenker S. Equivariant bifurcations in four-dimensional fixed point spaces. <i>Dynamical Systems</i>. 2016;32(1):117-147. doi:<a href="https://doi.org/10.1080/14689367.2016.1219696">10.1080/14689367.2016.1219696</a> @article{Lauterbach_Schwenker_2016, title={Equivariant bifurcations in four-dimensional fixed point spaces}, volume={32}, DOI={<a href="https://doi.org/10.1080/14689367.2016.1219696">10.1080/14689367.2016.1219696</a>}, number={1}, journal={Dynamical Systems}, publisher={Informa UK Limited}, author={Lauterbach, Reiner and Schwenker, Sören}, year={2016}, pages={117–147} } 332602022-09-06T11:22:12Z2022-09-07T08:33:36Z