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Computing Normal Subgroups
"... This note presents a new algorithm for the computation of the set of normal subgroups of a finite group. It is based on lifting via homomorphic images. ..."
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Cited by 3 (2 self)
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This note presents a new algorithm for the computation of the set of normal subgroups of a finite group. It is based on lifting via homomorphic images.
Classes of conjugation. Normal subgroups
 Journal of Formalized Mathematics
, 1990
"... article we define notion of conjugation for elements, subsets and subgroups of a group. We define the classes of conjugation. Normal subgroups of a group and normalizator of a subset of a group or of a subgroup are introduced. We also define the set of all subgroups of a group. An auxiliary theorem ..."
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Cited by 27 (7 self)
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article we define notion of conjugation for elements, subsets and subgroups of a group. We define the classes of conjugation. Normal subgroups of a group and normalizator of a subset of a group or of a subgroup are introduced. We also define the set of all subgroups of a group. An auxiliary theorem
Pseudocomplementation in (normal) subgroup lattices
, 2009
"... The goal of this paper is to study finite groups admitting a pseudocomplemented subgroup lattice (PKgroups) or a pseudocomplemented normal subgroup lattice (PKNgroups). In particular, we obtain a complete classification of finite PKgroups and of finite nilpotent PKNgroups. We also study groups ..."
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The goal of this paper is to study finite groups admitting a pseudocomplemented subgroup lattice (PKgroups) or a pseudocomplemented normal subgroup lattice (PKNgroups). In particular, we obtain a complete classification of finite PKgroups and of finite nilpotent PKNgroups. We also study
Groups with Few Normalizer Subgroups
 IRISH MATH. SOC. BULLETIN 56 (2005), 103–113
, 2005
"... The behaviour of normalizer subgroups of a group has often a strong influence on the structure of the group itself. In this paper groups with finitely many normalizers of subgroups with a given property χ are investigated, for various relevant choices of the property χ. ..."
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Cited by 3 (2 self)
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The behaviour of normalizer subgroups of a group has often a strong influence on the structure of the group itself. In this paper groups with finitely many normalizers of subgroups with a given property χ are investigated, for various relevant choices of the property χ.
On the Fpnormal subgroups of . . .
, 2011
"... Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is Fnormal in G if there exists a normal subgroup T of G such that HT is a permutable Hall subgroup of G and ..."
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Let G be a finite group, and let F be a formation of finite group. We say that a subgroup H of G is Fnormal in G if there exists a normal subgroup T of G such that HT is a permutable Hall subgroup of G and
Normal Subgroup of Product of Groups
, 2011
"... Summary. In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product. ..."
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Summary. In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.
ON NORMAL SUBGROUPS OF PRODUCT OF GROUPS
, 2005
"... Abstract. The object of this paper is to find a necessary and sufficient condition for a pair of groups G1 and G2 so that every normal subgroup of G1 ×G2 is of the type N1 ×N2 where Ni � Gi, i = 1, 2 1. ..."
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Abstract. The object of this paper is to find a necessary and sufficient condition for a pair of groups G1 and G2 so that every normal subgroup of G1 ×G2 is of the type N1 ×N2 where Ni � Gi, i = 1, 2 1.
NORMAL SUBGROUPS OF SIMPHATIC GROUPS
"... Abstract. A group is SimpHAtic if it acts geometrically on a simply connected simplicially hereditarily aspherical (SimpHAtic) complex. We show that finitely presented normal subgroups of SimpHAtic groups are either: • finite, or • of finite index, or • virtually free. This result applies, in partic ..."
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Abstract. A group is SimpHAtic if it acts geometrically on a simply connected simplicially hereditarily aspherical (SimpHAtic) complex. We show that finitely presented normal subgroups of SimpHAtic groups are either: • finite, or • of finite index, or • virtually free. This result applies
Classes of Conjugation. Normal Subgroups
"... discussed. In the article we define notion of conjugation for elements, subsets and subgroups of a group. We define the classes of conjugation. Normal subgroups of a group and normalizator of a subset of a group or of a subgroup are introduced. We also define the set of all subgroups of a group. An ..."
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discussed. In the article we define notion of conjugation for elements, subsets and subgroups of a group. We define the classes of conjugation. Normal subgroups of a group and normalizator of a subset of a group or of a subgroup are introduced. We also define the set of all subgroups of a group
ON NORMAL SUBGROUPS OF PRODUCT OF GROUPS
, 2005
"... Abstract. The object of this paper is to find a necessary and sufficient condition for the groups G1, G2,..., Gn so that every normal subgroup of the product ∏n i=1 Gi is of the type ∏n i=1 Ni with Ni � Gi, i = 1, 2,...,n. As a consequence we obtain a wellknown result due to R. Remak about centrele ..."
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Abstract. The object of this paper is to find a necessary and sufficient condition for the groups G1, G2,..., Gn so that every normal subgroup of the product ∏n i=1 Gi is of the type ∏n i=1 Ni with Ni � Gi, i = 1, 2,...,n. As a consequence we obtain a wellknown result due to R. Remak about
Results 1  10
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2,607