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pro vyhledávání: '"Barry, Michael J. J."'
Autor:
Barry, Michael J. J.
We prove that a certain family of sums of products of three binomials has alternating behavior modulo a prime $p$. To accomplish this we rewrite these sums as signed sums of products of three binomials, the better to handle $p$, and we give closed-fo
Externí odkaz:
http://arxiv.org/abs/2202.11647
Autor:
Barry, Michael J. J.
Let $F$ be a field of non-zero characteristic $p$, let $G$ be a cyclic group of order $q =p^a$ for some positive integer $a$, and let $U$ and $W$ be indecomposable $F G$-modules. We identify a generator for each of the indecomposable components of $U
Externí odkaz:
http://arxiv.org/abs/2201.03475
Autor:
Barry, Michael J. J.
In Combinatorial Game Theory, the fundamental relation of game equivalence, denoted by $=$, is introduced early on and overrides the notion of set equality. We explore what happens if set equality is given its due before game equivalence is introduce
Externí odkaz:
http://arxiv.org/abs/2009.01671
Autor:
Barry, Michael J. J.
Let $J_r$ denote a full $r \times r$ Jordan block matrix with eigenvalue $1$ over a field $F$ of characteristic $p$. For positive integers $r$ and $s$ with $r \leq s$, the Jordan canonical form of the $r s \times r s$ matrix $J_{r} \otimes J_{s}$ has
Externí odkaz:
http://arxiv.org/abs/1907.06519
Autor:
Barry, Michael J. J.
If $K$ is a field of finite characteristic $p$, $G$ is a cyclic group of order $q=p^\alpha$, $U$ and $W$ are indecomposable $KG$-modules with $\dim U=m$ and $\dim W=n$, and $\lambda(m,n,p)$ is a standard Jordan partition of $ m n$, we describe how to
Externí odkaz:
http://arxiv.org/abs/1508.01768
Autor:
Barry, Michael J. J.
Recently, Glasby, Praeger, and Xia asked for necessary and sufficient conditions for the `Jordan partition' $\lambda(m,n,p)$ to be standard. Previously we gave such conditions when $p$ is any odd prime. Here we give such conditions when $p=2$. Our ma
Externí odkaz:
http://arxiv.org/abs/1403.3656
Autor:
Barry, Michael J. J.
Recently, Glasby, Praeger, and Xia asked for necessary and sufficient conditions for the `Jordan Partition' $\lambda(r,s,p)$ to be standard. We give such conditions when $p$ is an odd prime.
Externí odkaz:
http://arxiv.org/abs/1402.6565
Autor:
Barry, Michael J. J.
Recent work of Kaplan and Levy refining a nonsolvability criterion proved by Thompson in his N-Groups paper prompts questions on whether certain conditions on groups are equivalent to nonsolvability.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/1109.4913
Akademický článek
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Autor:
Barry, Michael J. J., Ward, Michael B.
Publikováno v:
Publicacions Matemàtiques, 1997 Jan 01. 41(2), 411-415.
Externí odkaz:
https://www.jstor.org/stable/43737251
