Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Yalcin, Ergun"'
Autor:
Yalcin, Ergun
In [F. Xu, On the cohomology rings of small categories, J. Pure Appl. Algebra 212 (2008), 2555-2569], Xu constructs a LHS-spectral sequence for target regular extensions of small categories. We extend this construction to ext-groups and construct a s
Externí odkaz:
http://arxiv.org/abs/2305.02000
In this paper, we classify the parameter ideals in $H^*(BA_4;\mathbb{F}_2)$ and in the Dickson algebra $H^*(BSO(3);\mathbb{F}_2)$ that are closed under Steenrod operations. Consequently, we obtain restrictions on the dimensions $n,m$ for which $A_4$
Externí odkaz:
http://arxiv.org/abs/2206.11802
Autor:
Yalcin, Ergun
The fusion orbit category $\overline{\mathcal F _{\mathcal C}} (G)$ of a discrete group $G$ over a collection $\mathcal C$ is the category whose objects are the subgroups $H$ in $\mathcal C$, and whose morphisms $H \to K$ are given by the $G$-maps $G
Externí odkaz:
http://arxiv.org/abs/2106.14094
Autor:
Gelvin, Matthew, Yalcin, Ergun
Let $G$ be a finite group and $k$ an algebraically closed field of characteristic $p>0$. We define the notion of a Dade $kG$-module as a generalization of endo-permutation modules for $p$-groups. We show that under a suitable equivalence relation, th
Externí odkaz:
http://arxiv.org/abs/2007.05322
Autor:
Gündoğan, Muhammed Said, Yalcin, Ergun
Publikováno v:
Published in Journal of Homotopy and Related Structures, 2019
Given a fusion system $\mathcal{F}$ defined on a $p$-group $S$, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize $\mathcal{F}$. We study these models when $\mathcal{F}$ is a fusion system of a finite grou
Externí odkaz:
http://arxiv.org/abs/1901.00487
Autor:
Kızmaz, Muhammet Yasir, Yalcin, Ergun
Let $p>3$ be a prime. We show that if $G$ is a finite group with $p$-rank equal to 2, then $G$ involves $Qd(p)$ if and only if $G$ $p'$-involves $Qd(p)$. This allows us to use a version of Glauberman's ZJ-theorem to give a more direct construction of
Externí odkaz:
http://arxiv.org/abs/1812.10810
Autor:
Coskun, Olcay, Yalcin, Ergun
Publikováno v:
Published in J. Algebra, 2019
We develop an obstruction theory for the existence and uniqueness of a solution to the gluing problem for a destriction functor and apply it to some well-known biset functors. The obstruction groups for this theory are reduced cohomology groups of a
Externí odkaz:
http://arxiv.org/abs/1807.01107
Autor:
Okay, Cihan, Yalcin, Ergun
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 3907-3941
Given a spherical fibration $\xi$ over the classifying space $BG$ of a finite group we define a dimension function for the $m-$fold fiber join of $\xi$ where $m$ is some large positive integer. We show that the dimension functions satisfy the Borel-S
Externí odkaz:
http://arxiv.org/abs/1710.07315
Autor:
Yalcin, Ergun
Let $G$ be a finite $p$-group and $k$ be a field of characteristic $p$. A topological space $X$ is called an $n$-Moore space if its reduced homology is nonzero only in dimension $n$. We call a $G$-CW-complex $X$ an $\underline{n}$-Moore $G$-space ove
Externí odkaz:
http://arxiv.org/abs/1606.03607
Autor:
Hambleton, Ian, Yalcin, Ergun
Publikováno v:
Transactions Amer. Math. Soc. 368 (2016), 5951-5977
We show that a rank two finite group G admits a finite G-CW-complex X homotopy equivalent to a sphere, with rank one prime power isotropy, if and only if G does not p'-involve Qd(p) for any odd prime p. This follows from a more general theorem which
Externí odkaz:
http://arxiv.org/abs/1503.06298