Zobrazeno 1 - 10
of 19
pro vyhledávání: '"ANDREI V. ZAVARNITSINE"'
Publikováno v:
Sibirskie Elektronnye Matematicheskie Izvestiya. 17:1155-1164
We explore the extent to which constructing the inductive theory of $\mathfrak{X}$-submaximal subgroups is possible. To this end, we study the behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels and construct examp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7134e37b198b7b6cf49fd1f0b69a828
https://doi.org/10.33048/semi.2020.17.087
https://doi.org/10.33048/semi.2020.17.087
Publikováno v:
Communications in Algebra. 48:702-707
We construct examples that show the difference in behavior or $\pi$-maximal and $\pi$-submaximal subgroups under group homomorphisms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d80f2470cb9ee15e0989996e956abd3
https://doi.org/10.1080/00927872.2019.1654500
https://doi.org/10.1080/00927872.2019.1654500
We complete the description of automorphism groups of all nonsplit extensions of elementary abelian 2-groups by PSL 2 ( q ) \mathrm{PSL}_{2}(q) , with 𝑞 odd, for an irreducible induced action. An application of this result to the theory of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ca511244d76111fa412d27193e38d24
http://arxiv.org/abs/2104.09201
http://arxiv.org/abs/2104.09201
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We construct two infinite series of Moufang loops of exponent 3 whose commutative centre (i. e. the set of elements that commute with all elements of the loop) is not a normal subloop. In particular, we obtain examples of such loops of orders 38 and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c438fd274b01ca33c76fe62c0c1a808b
Publikováno v:
Matematicheskie Zametki. 101:211-214
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7925d83eafdeb04d3179f17ff66dcea7
https://doi.org/10.4213/mzm10739
https://doi.org/10.4213/mzm10739
Autor:
Andrei V. Zavarnitsine
To follow up on the results of [1], we propose a computationally efficient explicit cyclic decomposition of the maximal tori in the groups $SL_n(q)$ and $SU_n(q)$ and their projective images. We also derive some corollaries to simplify practical calc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94d863317ae367e0759b77ffb58644c4
Autor:
Andrei V. Zavarnitsine
Publikováno v:
Siberian Mathematical Journal. 54:40-46
Some classification is obtained for the finite groups whose prime graph has five connected components. In particular, we show that such a group is simple. Some related results are stated about representations of simple groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac9c11b08ffc658fc81220aab35bc06a
https://doi.org/10.1134/s0037446613010060
https://doi.org/10.1134/s0037446613010060
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We classify all unital subalgebras of the Cayley algebra 𝕆(q) over the finite field Fq, q = pn. We obtain the number of subalgebras of each type and prove that all isomorphic subalgebras are conjugate with respect to the automorphism group of 𝕆
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eee413210973d471f5ec1f1ce5c341b0
https://doi.org/10.1142/s0219498810004233
https://doi.org/10.1142/s0219498810004233
Autor:
Andrei V. Zavarnitsine
Publikováno v:
Siberian Mathematical Journal. 49:246-256
We show that if a finite simple group G, isomorphic to PSLn(q) or PSUn(q) where either n ≠ 4 or q is prime or even, acts on a vector space over a field of the defining characteristic of G; then the corresponding semidirect product contains an eleme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d4a38c5b193817adae75a0194f79741
https://doi.org/10.1007/s11202-008-0025-9
https://doi.org/10.1007/s11202-008-0025-9
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Using groups with triality, we obtain some general multiplication formulas in Moufang loops, construct Moufang extensions of abelian groups, and describe the structure of minimal extensions for finite simple Moufang loops over abelian groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d678453a42e9ce232f47e9b94773c946
http://arxiv.org/abs/1507.05262
http://arxiv.org/abs/1507.05262