Results 41 to 50 of about 366,411 (69)
Coprime actions with supersolvable fixed-point groups
, 2018 Let A be an elementary abelian r-group acting on a finite r ′
Hangyang Meng, Xiuyun Guo
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Lie algebras all of whose subalgebras are supersolvable
, 1986 A Lie algebra L is said to be minimal non supersolvable if all its subalgebras, except L itself, are ...
Varea Agudo, Vicente Ramón +1 more
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Supersolvable saturated matroids and chordal graphs
, 2023 A matroid is supersolvable if it has a maximal chain of flats each of which is modular. A matroid is saturated if every round flat is modular. In this article we present supersolvable saturated matroids as analogues to chordal graphs, and we show that ...
Probert, Andrew, Mayhew, Dillon
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Ş. O. Tohăneanu conjectured (Oberwolfach Report 5/2021, p. 284; Conjecture 4.1 of the preprint arXiv:1707.07091v3) that every central free hyperplane arrangement over a field of characteristic zero whose exponents are 1's, 2's and at most one 3 is supersolvable. We prove this conjecture in every rank.
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Koszulity, supersolvability and Stirling Representations
Supersolvable hyperplane arrangements and matroids are known to give rise to certain Koszul algebras, namely their Orlik–Solomon algebras and graded Varchenko–Gel’fand algebras. We explore how this interacts with group actions, particularly for the braid
Reiner, Victor +2 more
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Finite groups with supersolvable subgroup cofactors
, 2008 Let in group О maximal subgroup cofactors be supersolvable. It is proved that non-Abelian composition factors are iso morphic to group PSL(2, p\ p - primes, p = ± 1 (mod 8). If group G is soluble then its nilpotent length does not exceed 3, p-length /ДО)
Евтухова, С. М. +1 more
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On rational K[pi,1] spaces and Koszul algebras
, 1997 this paper were first studied in the arrangement setting in [2, 20, 21, 22, 14, 13]. Falk [13] studied conditions for X to be a rational K[ß; 1]. He proved that X is a rational K[ß; 1] for every arrangement of so called fiber-type.
Stefan Papadima, Sergey Yuzvinsky
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On an explicit correspondence between nbc-basis, chambers and minimal complex for real supersolvable arrangementsIn this paper we give a very natural description of the bijections between the set of cells in the minimal CW-complex homotopy equivalent to the complement of a complexified real supersolvable arrangement A, the nbc-basis of the Orlik-Solomon algebra associated to A and the set of chambers of A.
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Supersolvable Reflection Arrangements [PDF]
Proceedings of the American Mathematical Society, 2014 Let A = ( A
Gerhard Röhrle, Torsten Hoge
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Supersolvable Restrictions of Reflection Arrangements
Journal of Combinatorial Theory - Series A, 2014 16 pages; final version, to appear in Journal of Combinatorial Theory, Series ...
Gerhard Röhrle, Torsten Hoge
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