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Matematicheskie Zametki, 2010, Volume 88, Issue 6, Pages 902–910
DOI: https://doi.org/10.4213/mzm8488 (Mi mzm8488) 		 
Minimal Involution-Free Nongroup Reduced Twisted Subsets

A. L. Myl'nikov

Institute of Basic Training, Siberian Federal University
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DOI: https://doi.org/10.4213/mzm8488
Abstract: A subset $K$ of a group $G$ is said to be twisted if $1\in K$ and the element $xy^{-1}x$ lies in $K$ for any $x,y\in K$. We study finite involution-free twisted subsets that are not subgroups but all of whose proper twisted subsets are subgroups.
Keywords: group, subgroup, twisted subset, involution-free subset.
Received: 29.04.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 6, Pages 860–867
DOI: https://doi.org/10.1134/S000143461011026X
Bibliographic databases:
Document Type: Article
UDC: 512.544
Language: Russian
Citation: A. L. Myl'nikov, “Minimal Involution-Free Nongroup Reduced Twisted Subsets”, Mat. Zametki, 88:6 (2010), 902–910; Math. Notes, 88:6 (2010), 860–867
Citation in format AMSBIB
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