Volume 2, Issue 1
مرور بر اساس
ارسال های اخیر
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On the representation theory of the alternating groups
(University of Isfahan, 2013-03-01)We present the basic results on the representation theory of the alternating groups $A_n$. Our approach is based on Clifford theory.
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On finite arithmetic groups
(University of Isfahan, 2013-03-01)Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a global field of positive characteristic, and let $E/F$ be a Galois extension. We study the realization fields of finite subgroups $G$ of $GL_n(E)$ stable ...
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The prime graph conjecture for integral group rings of some alternatings groups
(University of Isfahan, 2013-03-01)We investigate the classical H. Zassenhaus conjecture for integral group rings of alternating groups $A_9$ and $A_{10}$ of degree $9$ and $10$, respectively. As a consequence of our previous results we confirm ...
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Omissible extensions of $SL_2(k)$ where $k$ is a field of positive characteristic
(University of Isfahan, 2013-03-01)A normal subgroup $N$ of a group $G$ is said to be an omissible subgroup of $G$ if it has the following property: whenever $Xleq G$ is such that $G=XN$, then $G=X$. In this note we construct various groups ...
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On some invariants of finite groups
(University of Isfahan, 2013-03-01)A normal subgroup $N$ of a group $G$ is said to be an omissible subgroup of $G$ if it has the following property: whenever $Xleq G$ is such that $G=XN$, then $G=X$. In this note we construct various groups ...
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Cocharacters of upper triangular matrices
(University of Isfahan, 2013-03-01)We survey some recent results on cocharacters of upper triangular matrices. In particular, we deal both with ordinary and graded cocharacter sequence; we list the principal combinatorial results; we show different ...
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Metahamiltonian groups and related topics
(University of Isfahan, 2013-03-01)A group $G$ is called metahamiltonian if all its non-abelian subgroups are normal. The aim of this paper is to provide an updated survey of research concerning certain classes of generalized metahamiltonian ...
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Linear analogues of theorems of Schur, Baer and Hall
(University of Isfahan, 2013-03-01)A celebrated result of I. Schur asserts that the derived subgroup of a group is finite provided the group modulo its center is finite, a result that has been the source of many investigations within the Theory of ...
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Certain combinatorial topics in group theory
(University of Isfahan, 2013-03-01)This article is intended to be a survey on some combinatorial topics in group theory. The bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text. I ...
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Proceedings of Ischia Group Theory 2012
(University of Isfahan, 2013-03-01)Proceedings of Ischia Group Theory 2012
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Factorizing profinite groups into two abelian subgroups
(University of Isfahan, 2013-03-01)We prove that the class of profinite groups $G$ that have a factorization $G=AB$ with $A$ and $B$ abelian closed subgroups, is closed under taking inverse limits of surjective inverse systems. This is a generalization ...
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Groups with all subgroups permutable or soluble
(University of Isfahan, 2013-03-01)In this paper, we consider locally graded groups in which every non-permutable subgroup is soluble of bounded derived length.
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Replacement and zig-zag products, Cayley graphs and Lamplighter random walk
(University of Isfahan, 2013-03-01)We investigate two constructions - the replacement and the zig-zag product of graphs - describing several fascinating connections with Combinatorics, via the notion of expander graph, Group Theory, via the ...
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Centralizers in simple locally finite groups
(University of Isfahan, 2013-03-01)This is a survey article on centralizers of finite subgroups in locally finite, simple groups or LFS-groups as we will call them. We mention some of the open problems about centralizers of subgroups in LFS-groups ...
