Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Woodroofe, Russ"'
Autor:
Bulavka, Denys, Woodroofe, Russ
We give a short and relatively elementary proof of the Hilton-Milner Theorem.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/2411.02513
Recent work of Scott and Wilmer and of Woodroofe extends the Erd\H{o}s-Ko-Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hilton-Milner theorem to the exterior algebra setting, answering in a
Externí odkaz:
http://arxiv.org/abs/2406.17857
Suppose $\Delta$ is a pure simplicial complex on $n$ vertices having dimension $d$ and let $c = n-d-1$ be its codimension in the simplex. Terai and Yoshida proved that if the number of facets of $\Delta$ is at least $\binom{n}{c}-2c+1$, then $\Delta$
Externí odkaz:
http://arxiv.org/abs/2403.07316
Publikováno v:
J. Algebra 659 (2024) 686-697
We show that every finite simple group is generated invariably by a Sylow subgroup and a cyclic group. It follows that that the order complex of the coset poset of an arbitrary finite group has nontrivial reduced rational homology.
Comment: 14 p
Comment: 14 p
Externí odkaz:
http://arxiv.org/abs/2312.16319
Publikováno v:
European J. Combin. 114 (2023), Paper 103796, 11 pages
The classical No-Three-In-Line problem seeks the maximum number of points that may be selected from an $n\times n$ grid while avoiding a collinear triple. The maximum is well known to be linear in $n$. Following a question of Erde, we seek to select
Externí odkaz:
http://arxiv.org/abs/2209.01447
Publikováno v:
Math. Comp. 192 (2023), no. 341, 1349-1361
We verify that every alternating group of degree at most one quadrillion is invariably generated by an element of prime order together with an element of prime power order.
Comment: 14 pages. Code available on github, see https://github.com/Russ
Comment: 14 pages. Code available on github, see https://github.com/Russ
Externí odkaz:
http://arxiv.org/abs/2201.12371
Publikováno v:
In Journal of Algebra 1 December 2024 659:686-697
Autor:
Foldes, Stephan, Woodroofe, Russ
Publikováno v:
Proc. Amer. Math. Soc. 150 (2022), 31-39
We characterize supersolvable lattices in terms of a certain modular type relation. McNamara and Thomas earlier characterized this class of lattices as those graded lattices having a maximal chain that consists of left-modular elements. Our character
Externí odkaz:
http://arxiv.org/abs/2011.11657
Autor:
Woodroofe, Russ
Publikováno v:
Linear Multilinear Algebra 70 (2022), no. 22, 7825-7835
We give a proof of the Erd\H{o}s-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erd\H{o}s-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on space
Externí odkaz:
http://arxiv.org/abs/2007.03707
Publikováno v:
In European Journal of Combinatorics December 2023 114