On groups with biprimary subgroups of even order

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Author: Sokhor, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156015
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On groups with biprimary subgroups of even order / I. Sokhor // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 312-330. — Бібліогр.: 35 назв. — англ.

We investigate groups in which maximal subgroups of even order are primary or biprimary. We also research soluble groups with restriction on a number of prime devisors of some proper subgroup orders. We give applications of received results to cofactors of proper subgroups.