Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Lev Kazarin"'
Autor:
Lev Kazarin
Publikováno v:
Algebra Colloquium. 27:149-180
This is a survey on the recent progress in the theory of finite groups with factorizations and around it, done by the author and his co-authors, and this has no pretensions to cover all topics in this wide area of research. In particular, we only tou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f436ce199494ff48b73b3cbafad9ea9
https://doi.org/10.1142/s1005386720000139
https://doi.org/10.1142/s1005386720000139
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
[EN] The aim of this paper is to prove the following result: Let pi be a set of odd primes. If the group G = AB is the product of two p-decomposable subgroups A = A(pi) x A(pi') and B = B-pi x B-pi', then G has a unique conjugacy class of Hall pi-sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c90c0e8d5cf362928c9af9e378fc313
http://hdl.handle.net/10251/187679
http://hdl.handle.net/10251/187679
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
[EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR B if and only if G is p-decom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10662fba09ba5517ecce3b25b44f24ca
http://hdl.handle.net/10251/176990
http://hdl.handle.net/10251/176990
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
We derive some structural properties of a trifactorised finite group $G=AB=AC=BC$, where $A$, $B$, and $C$ are subgroups of $G$, provided that $A=A_{\unicode[STIX]{x1D70B}}\times A_{\unicode[STIX]{x1D70B}^{\prime }}$ and $B=B_{\unicode[STIX]{x1D70B}}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6d8feb5b9aa00d0d8c05fa5d5797477
https://doi.org/10.1017/s0004972717001034
https://doi.org/10.1017/s0004972717001034
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
[EN] A remarkable result of Thompson states that a finite group is soluble if and only if all its two-generated subgroups are soluble. This result has been generalized in numerous ways, and it is in the core of a wide area of research in the theory o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67375f097a9a10deb613c2d35d0bfeb0
http://arxiv.org/abs/1908.03347
http://arxiv.org/abs/1908.03347
Publikováno v:
Mathematics
Volume 8
Issue 9
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Mathematics, Vol 8, Iss 1498, p 1498 (2020)
Volume 8
Issue 9
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Mathematics, Vol 8, Iss 1498, p 1498 (2020)
For a non-empty class of groups L, a finite group G=AB is said to be an L-connected product of the subgroups A and B if &lang
a,b&rang
&isin
L for all a&isin
A and b&isin
B. In a previous paper, we prove that, for such a prod
a,b&rang
&isin
L for all a&isin
A and b&isin
B. In a previous paper, we prove that, for such a prod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::184e9bbe91e1bfd564e7107770eff093
https://doi.org/10.3390/math8091498
https://doi.org/10.3390/math8091498
Publikováno v:
De Gruyter Expositions in Mathematics 56
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bef86eed781edd2f2994fd8412a3ac85
https://doi.org/10.1515/9783110224078
https://doi.org/10.1515/9783110224078
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
We report on a stream of research in relation with Sylow normalizers, i.e. normalizers of Sylow subgroups, of nite groups and group’s classes. Mathematics Subject Classication: 20D20, 20F17, 20D15
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b92ef94fb4c13cacd2a91515912f262
https://doi.org/10.12988/ams.2014.49689
https://doi.org/10.12988/ams.2014.49689
Autor:
Bernhard Amberg, Lev Kazarin
Publikováno v:
Communications in Algebra. 41:2297-2309
The maximal independent sets of the soluble graph of a finite simple group G are studied and their independence number is determined. In particular, it is shown that this graph in many cases has an independent set with three vertices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8803dda85b379d838e2a91a13ca80a40
https://doi.org/10.1080/00927872.2012.656336
https://doi.org/10.1080/00927872.2012.656336
Publikováno v:
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
instname
[EN] For a set of primes pi, a group X is said to be pi-decomposable if X = X-pi x X-pi' is the direct product of a pi-subgroup X-pi and a pi'-subgroup X-pi', where pi' is the complementary of pi in the set of all prime numbers. The main result of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e69aad752a9b7a71055b6d9c56b46f80