Research output: Contribution to journal › Article › peer-review
Finite Groups Close to Frobenius Groups. / Wei, X.; Zhurtov, A. Kh; Lytkina, D. V. et al.
In: Siberian Mathematical Journal, Vol. 60, No. 5, 01.09.2019, p. 805-809.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Finite Groups Close to Frobenius Groups
AU - Wei, X.
AU - Zhurtov, A. Kh
AU - Lytkina, D. V.
AU - Mazurov, V. D.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as an element of the quotient group G/F, consists only of p-elements. The particular example of such a group is a Frobenius group, given that F is the Frobenius kernel of G, and also the Camina group.
AB - We study finite nonsoluble generalized Frobenius groups; i.e., the groups G with a proper nontrivial normal subgroup F such that each coset Fx of prime order p, as an element of the quotient group G/F, consists only of p-elements. The particular example of such a group is a Frobenius group, given that F is the Frobenius kernel of G, and also the Camina group.
KW - Camina group
KW - complement
KW - Frobenius group
KW - generalized Frobenius group
KW - kernel
UR - http://www.scopus.com/inward/record.url?scp=85073690298&partnerID=8YFLogxK
U2 - 10.1134/S0037446619050045
DO - 10.1134/S0037446619050045
M3 - Article
AN - SCOPUS:85073690298
VL - 60
SP - 805
EP - 809
JO - Siberian Mathematical Journal
JF - Siberian Mathematical Journal
SN - 0037-4466
IS - 5
ER -
ID: 21939104