Research output: Contribution to journal › Article › peer-review
On new examples of hypocritical groups. / Skresanov, Saveliy Vyacheslavovich.
In: Siberian Electronic Mathematical Reports, Vol. 15, 63, 2018, p. 305-313.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On new examples of hypocritical groups
AU - Skresanov, Saveliy Vyacheslavovich
N1 - Publisher Copyright: © 2018 Sobolev Institute of Mathematics.
PY - 2018
Y1 - 2018
N2 - A group G is called hypocritical if whenever G lies in a locally finite variety generated by a section closed class of groups X, then G belongs to X. We prove that some coprime extensions of a p-group are hypocritical. The first example is given when such a p-group is nonabelian.
AB - A group G is called hypocritical if whenever G lies in a locally finite variety generated by a section closed class of groups X, then G belongs to X. We prove that some coprime extensions of a p-group are hypocritical. The first example is given when such a p-group is nonabelian.
KW - Extraspecial p-groups
KW - Finite groups
KW - Locally finite varieties
UR - http://www.scopus.com/inward/record.url?scp=85074917815&partnerID=8YFLogxK
UR - https://elibrary.ru/item.asp?id=36998691
U2 - 10.17377/semi.2018.15.027
DO - 10.17377/semi.2018.15.027
M3 - Article
AN - SCOPUS:85074917815
VL - 15
SP - 305
EP - 313
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
M1 - 63
ER -
ID: 34614451