The G-connected property and G-topological groups
نویسندگان
چکیده
منابع مشابه
G-complete Reducibility in Non-connected Groups
In this paper we present an algorithm for determining whether a subgroup H of a non-connected reductive group G is G-completely reducible. The algorithm consists of a series of reductions; at each step, we perform operations involving connected groups, such as checking whether a certain subgroup of G is G-cr. This essentially reduces the problem of determining G-complete reducibility to the con...
متن کاملPolish Groups Topological Groups a Topological Group Is a Group G with a Topology on G for Which the Operations
These notes introduce the reader to Polish groups|topological groups in which the underlying space is Polish. No background in topological groups is assumed, but I will present the material fairly rapidly and leave quite a lot for the reader to check on his or her own. My main motivation for writing such notes arises from the applications and connections in model theory, where closed subgroups ...
متن کاملIsoclinic Classification of Some Pairs $(G,G\')$ of $p$-Groups
The equivalence relation isoclinism partitions the class of all pairs of groups into families. In this paper, a complete classification of the set of all pairs $(G,G')$ is established, whenever $G$ is a $p$-group of order at most $p^5$ and $p$ is a prime number greater than 3. Moreover, the classification of pairs $(H,H')$ for extra special $p$-groups $H$ is also given.
متن کاملOn the property $U$-($G$-$PWP$) of acts
In this paper first of all we introduce Property $U$-($G$-$PWP$) of acts, which is an extension of Condition $(G$-$PWP)$ and give some general properties. Then we give a characterization of monoids when this property of acts implies some others. Also we show that the strong (faithfulness, $P$-cyclicity) and ($P$-)regularity of acts imply the property $U$-($G$-$PWP$). Finally, we give a necessar...
متن کاملG-compactness and groups
Lascar described EKP as a composition of EL and the topological closure of EL ([1]). We generalize this result to some other pairs of equivalence relations. Motivated by an attempt to construct a new example of a non-G-compact theory, we consider the following example. Assume G is a group definable in a structure M. We define a structure M′ consisting of M and X as two sorts, where X is an affi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2019
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1914441w