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Title: Groups with Almost Regular and Almost Perfect Involutions

Abstract

We establish the solubility of a group with Sylow 2-subgroup of the least order in the centralizer of an almost regular involution. We also study the structure of a group G with an almost perfect and almost regular involution a.

Authors:
 [1]
  1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771404
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 1; 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; GROUP THEORY; INCLUSIONS; MATHEMATICAL SOLUTIONS; SOLUBILITY

Citation Formats

Korobov, O. A., E-mail: oleg0101@ngs.ru. Groups with Almost Regular and Almost Perfect Involutions. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3727-Y.
Korobov, O. A., E-mail: oleg0101@ngs.ru. Groups with Almost Regular and Almost Perfect Involutions. United States. doi:10.1007/S10958-018-3727-Y.
Korobov, O. A., E-mail: oleg0101@ngs.ru. Sun . "Groups with Almost Regular and Almost Perfect Involutions". United States. doi:10.1007/S10958-018-3727-Y.
@article{osti_22771404,
title = {Groups with Almost Regular and Almost Perfect Involutions},
author = {Korobov, O. A., E-mail: oleg0101@ngs.ru},
abstractNote = {We establish the solubility of a group with Sylow 2-subgroup of the least order in the centralizer of an almost regular involution. We also study the structure of a group G with an almost perfect and almost regular involution a.},
doi = {10.1007/S10958-018-3727-Y},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}