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Now showing items 1-10 of 46
Capability of groups, an algebraic topological approach
In this paper, we use one of the famous algebraic topological tools, called
Mayer-Vietoris sequence, to find a necessary condition for capability of groups. Also,
we try to generalize our main results, for ...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
In this talk using a relationship between the Shur multiplier of a group G the fundamental group and the second homology group of the E-M spaces of G, we present new proves for some famous properties of the Shur multiplier ...
Generalized covering groups and direct limits
M. R. R. Moghaddam (Monatsh. Math. 90 (1980) 37-43.) showed that the
Baer invariant commutes with the direct limit of a directed system
of groups. In this paper, using the generalization of Schur s
formula ...
On Schur Multipliers of Pairs and Triples of Groups with Topological Approach
In this paper, using a relation between Schur multipliers of
pairs and triples of groups, the fundamental group and homology groups
of a homotopy pushout of Eilenberg-MacLane spaces, we present among
other ...
On Varietal Capability of Direct Products of Groups and Pairs of Groups
In this paper we give some conditions in which a direct product of groups
is V−capable if and only if each of its factors is V−capable for some varieties V.
Moreover, we give some conditions in which a direct ...
Weak coarse shape equivalences and infinite dimensional Whitehead theorem in coarse shape theory
In this paper, we study the weak coarse shape equivalences. First, we define
paradominations and then we give a characterization of them, for uniformly movable
pointed continuum spaces. Also, we show that a ...
انتهاهای بدیهی گراف کیلی گروهها
در این مقاله ابتدا انتهای گرافهای موضعا متناهی را به عنوان رده همارزی مسیرهای نامتناهی در گراف معرفی میکنیم. سپس انتهای گروههای متناهی تولید شده را بازگو میکنیم که با استفاده از گراف کیلی تعریف میشود. ثابت شده است ...
ON VARIETAL CAPABILITY OF DIRECT PRODUCTS OF GROUPS AND PAIRS OF GROUPS
In this paper we give some conditions in which a direct product
of groups is V-capable if and only if each of its factors is V-capable for
some varieties V.
From 2-Complexes to Group Theory
In this talk, we introduce a topological interpretation for presentation of groups
which is presented by Brent Everit in 2003. In particular, Using simplicial complexes and
topological methods, we establishsome ...
Solvable groups, Cayley graphs and Complexes
In this talk, we deal with the solvable groups and we use topological methods to prove some
theorems in this field. In particular, we use Cayley graphs to construct suitable 2-complexes corresponding
to the ...