Minimal partition-free groups
نویسندگان
چکیده
Let G be a finite group. A collection $$\Pi =\{H_1,\dots ,{H_r}\}$$ of subgroups G, where $$r>1$$ , is said non-trivial partition if every non-identity element belongs to one and only $$H_i$$ for some $$1\leqslant i\leqslant r$$ . We call group that does not admit any partition-free In this paper, we study whose all proper non-cyclic partitions.
منابع مشابه
Digital cohomology groups of certain minimal surfaces
In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...
متن کاملMinimal index torsion-free subgroups of Kleinian groups
A Kleinian group Γ is a discrete subgroup of PSL(2, C), the full group of orientation-preserving isometries of 3-dimensional hyperbolic space. In the language of [T1] Q = H3/Γ is a hyperbolic 3-orbifold; that is a metric 3-orbifold in which all sectional curvatures are -1, and for which Γ is the orbifold fundamental group (see [T1] for further details). A Fuchsian group is a discrete subgroup o...
متن کاملMinimal Pseudocompact Group Topologies on Free Abelian Groups
A Hausdorff topological group G is minimal if every continuous isomorphism f : G → H between G and a Hausdorff topological group H is open. Significantly strengthening a 1981 result of Stoyanov we prove the following theorem: For every infinite minimal group G there exists a sequence {σn : n ∈ N} of cardinals such that w(G) = sup{σn : n ∈ N} and sup{2 σn : n ∈ N} ≤ |G| ≤ 2, where w(G) is the we...
متن کاملMinimal p-divisible groups
Introduction. A p-divisible group X can be seen as a tower of building blocks, each of which is isomorphic to the same finite group scheme X[p]. Clearly, if X1 and X2 are isomorphic then X1[p] ∼= X2[p]; however, conversely X1[p] ∼= X2[p] does in general not imply that X1 and X2 are isomorphic. Can we give, over an algebraically closed field in characteristic p, a condition on the p-kernels whic...
متن کاملMinimal Geodesics on Groups
The three-dimensional motion of an incompressible inviscid uid is classically described by the Euler equations, but can also be seen, following Arnold 1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsden 16]. In the large, for a large class of data, the existence of minimal geodesics may fail, as sh...
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: Ricerche Di Matematica
سال: 2021
ISSN: ['1827-3491', '0035-5038']
DOI: https://doi.org/10.1007/s11587-021-00579-z