Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Alan R. Camina"'
Autor:
Alan R. Camina, Rachel D. Camina
Publikováno v:
International Journal of Group Theory, Vol 12, Iss 1, Pp 27-34 (2023)
We continue the investigation, that began in [M. Bianchi, A. Gillio and P. P. Pálfy, A note on finite groups in which the conjugacy class sizes form an arithmetic progression, Ischia group theory 2010, World Sci. Publ., Hackensack, NJ (2012) 20--25.
Externí odkaz:
https://doaj.org/article/f46884896c7d40e4bb0744c54a498d51
Autor:
Alan R Camina
Publikováno v:
Combinatorial Designs and their Applications ISBN: 9781315139722
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::61caa8ad059a26dcccbc9ba15d0b1869
https://doi.org/10.1201/9781315139722-4
https://doi.org/10.1201/9781315139722-4
Autor:
Alan R. Camina, Rachel Camina
Publikováno v:
Asian-European Journal of Mathematics. :559-588
The importance of conjugacy classes for the structure of finite groups was recognised very early in the study of groups. In this survey we consider the results from the many articles which have developed this topic and examined the influence of conju
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ac28f1fa8ed5cbb40a70159074d554c
https://doi.org/10.1142/s1793557111000459
https://doi.org/10.1142/s1793557111000459
Publikováno v:
Journal of Algebra. 323:522-525
For an element x of a finite group G let IndG(x) denote the index of CG(x) in G. We prove that if Ind〈a,b,x〉(x) is a prime-power for any a,b∈G, then IndG(x) is a prime-power.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0cd683ddf2197fd4cb34fb290b58e2ae
https://doi.org/10.1016/j.jalgebra.2009.09.005
https://doi.org/10.1016/j.jalgebra.2009.09.005
Autor:
Rachel Camina, Alan R. Camina
Publikováno v:
Asian-European Journal of Mathematics. :183-190
We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::666445604e3789ac16ea159b0f8f676e
https://doi.org/10.1142/s1793557109000157
https://doi.org/10.1142/s1793557109000157
Autor:
Alan R. Camina
Publikováno v:
Innov. Incidence Geom. 1, no. 1 (2005), 191-196
In this note we prove two theorems which contribute towards the classification of line-transitive designs. A special class of such designs are the projective planes and it is this problem which the paper addresses. There two main results:- ¶ Theorem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11a6388e7a5a56c45e440d438bdb5cea
https://doi.org/10.2140/iig.2005.1.191
https://doi.org/10.2140/iig.2005.1.191
Autor:
Alan R. Camina, Cheryl E. Praeger
Publikováno v:
Aequationes Mathematicae. 61:221-232
The paper reports on an investigation of the structure of line-transitive automorphism groups of a finite linear space. It follows from a result of Richard Block that such a group G is also point-transitive. It has been proved by several people indep
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a00d2cd04e9e0e1d897a9df75fce0f7a
https://doi.org/10.1007/s000100050174
https://doi.org/10.1007/s000100050174
Autor:
Alan R. Camina, Rachel Camina
Publikováno v:
Communications in Algebra. 29:1583-1593
The second author would like to acknowledge that a large amount of this research was carried out whilst she was employed by the University of the South Pacific.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ec3c564b8ddd8264644ff5fd3e1e26d
https://doi.org/10.1081/agb-100002119
https://doi.org/10.1081/agb-100002119
Autor:
Alan R. Camina, Federica Spiezia
Publikováno v:
Journal of Combinatorial Designs. 8:353-362
This article is a contribution to the study of the automorphism groups of finite linear spaces. In particular we look at almost simple groups and prove the following theorem: Let G be an almost simple group and let be a finite linear space on which G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81a650316861597049752a30d0472b1e
https://doi.org/10.1002/1520-6610(2000)8:5<353::aid-jcd5>3.0.co
https://doi.org/10.1002/1520-6610(2000)8:5<353::aid-jcd5>3.0.co