Eremenko points and the structure of the escaping set
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7673
Abstract: Much recent work on the iterates of a transcendental entire function $f$ has been motivated by Eremenko's conjecture that all the components of the escaping set $I(f)$ are unbounded. Here we show that if $I(f)$… read more here.
Keywords: points structure; escaping set; eremenko points; structure escaping ... See more keywords
Maximal subgroups of the modular and other groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Group Theory"
DOI: 10.1515/jgth-2018-0144
Abstract: Abstract In 1933 B. H. Neumann constructed uncountably many subgroups of SL2(ℤ){{\rm SL}_{2}(\mathbb{Z})} which act regularly on the primitive elements of ℤ2{\mathbb{Z}^{2}}. As pointed out by Magnus, their images in the modular group PSL2(ℤ)≅C3*C2{{\rm PSL}_{2}(\mathbb{Z})\cong C_{3}*C_{2}}… read more here.
Keywords: maximal subgroups; conjugacy classes; group; uncountably many ... See more keywords