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Title: Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs

Abstract

We investigate torsion-free Abelian groups that are decomposable into direct sums or direct products of homogeneous groups normally defined by their holomorphs. Properties of normal Abelian subgroups of holomorphs of torsion-free Abelian groups are also studied.

Authors:
 [1];  [2]
  1. Tomsk State University (Russian Federation)
  2. Tomsk State University of Control Systems and Radioelectronics (Russian Federation)
Publication Date:
OSTI Identifier:
22771357
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; GROUP THEORY; TORSION

Citation Formats

Grinshpon, S. Ya., E-mail: grinshpon@math.tsu.ru, and Grinshpon, I. E., E-mail: irina-grinshpon@yandex.ru. Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3743-Y.
Grinshpon, S. Ya., E-mail: grinshpon@math.tsu.ru, & Grinshpon, I. E., E-mail: irina-grinshpon@yandex.ru. Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs. United States. doi:10.1007/S10958-018-3743-Y.
Grinshpon, S. Ya., E-mail: grinshpon@math.tsu.ru, and Grinshpon, I. E., E-mail: irina-grinshpon@yandex.ru. Sun . "Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs". United States. doi:10.1007/S10958-018-3743-Y.
@article{osti_22771357,
title = {Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs},
author = {Grinshpon, S. Ya., E-mail: grinshpon@math.tsu.ru and Grinshpon, I. E., E-mail: irina-grinshpon@yandex.ru},
abstractNote = {We investigate torsion-free Abelian groups that are decomposable into direct sums or direct products of homogeneous groups normally defined by their holomorphs. Properties of normal Abelian subgroups of holomorphs of torsion-free Abelian groups are also studied.},
doi = {10.1007/S10958-018-3743-Y},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}