Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type
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DOI: 10.1016/j.jpaa.2019.01.010
Abstract: Let A be a finite dimensional algebra over an algebraically closed field with the radical nilpotent of index 2. It is shown that A has finitely many conjugacy classes of left ideals if and only… read more here.
Keywords: finite representation; finitely many; many conjugacy; classes left ... 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