Archivo de la etiqueta: Beitr. Algebra Geom.

Paper «Groups whose subgroups satisfy the weak subnormalizer condition» published in Beitr. Algebra Geom.

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R. Esteban Romero, F. de Giovanni, A. Russo.
Groups whose subgroups satisfy the weak subnormalizer condition
Beitr. Algebra Geom., 60(4):645–656, 2019.

doi:10.1007/s13366-019-00448-9

Abstract

A subgroup X of a group G is said to satisfy the weak subnormalizer condition if NG(Y)≤NG(X) for each non-normal subgroup Y of G such that X≤Y≤NG(X). The behaviour of generalized soluble groups whose (cyclic) subgroups satisfy the weak subnormalizer condition is investigated.

2010 Mathematics Subject Classification: 20E15, 20F16

Keywords: Weak subnormalizer condition, T-group, weakly radical group

Paper «Finite solvable groups in which semi-normality is a transitive relation» published in Beitr. Algebra Geom.

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The following paper has been published.

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El següent article ha sigut publicat.

A. Ballester-Bolinches, J. C. Beidleman, A. D. Feldman, H. Heineken, M. F. Ragland

Finite solvable groups in which semi-normality is a transitive relation

Beitr. Algebra Geom., 54(2), 549-558 (2013)

http://dx.doi.org/10.1016/j.jalgebra.2013.08.042

Abstract: A subgroup H of a finite group G is said to be seminormal in G if every Sylow p-subgroup of G, p a prime, with (|H|, p) = 1 normalizes H. A group G is called an SNT-group if seminormality is a transitive relation in G. Properties of solvable SNT-groups are studied. For example, subgroups of solvable SNT-groups are SNT-groups.
MSC: 20D05, 20D10, 20F16
Keywords: Finite groups, S-permutability, S-semipermutability, seminormal.