Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Mark L. Lewis"'
Autor:
Sarah Croome, Mark L. Lewis
Publikováno v:
Advances in Group Theory and Applications, Vol 8, Pp 85-101 (2019)
Externí odkaz:
https://doaj.org/article/a0aa7954e4884b0d995f8c2ba7fc320b
Autor:
Mark L. Lewis
Publikováno v:
Advances in Group Theory and Applications, Vol 5, Pp 91-122 (2018)
Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^
Externí odkaz:
https://doaj.org/article/3c4e8f4d45e644a685acf1b418bc2ab5
Autor:
Lisa R. Hendrixson, Mark L. Lewis
Publikováno v:
Advances in Group Theory and Applications, Vol 4, Pp 3-28 (2017)
First, we prove that when a finite solvable group $G$ has a faithful irreducible character $\chi$ such that $\chi\overline{\chi}$ has two irreducible constituents, both must be real-valued. Then, we study the situation where $\chi\overline{\chi}$ has
Externí odkaz:
https://doaj.org/article/01717812014944e082c2b2af6073610b
Autor:
Mark L. Lewis, John K. McVey
Publikováno v:
International Journal of Group Theory, Vol 4, Iss 1, Pp 1-6 (2015)
In a previous paper, the second author established that, given finite fields F
Externí odkaz:
https://doaj.org/article/2c935013ffd449e6b00c1904c1ed6fc4
Autor:
NICOLAS F. BEIKE, RACHEL CARLETON, DAVID G. COSTANZO, COLIN HEATH, MARK L. LEWIS, KAIWEN LU, JAMIE D. PEARCE
Publikováno v:
Bulletin of the Australian Mathematical Society. :1-6
Let G be a p-group for some prime p. Recall that the Hughes subgroup of G is the subgroup generated by all of the elements of G with order not equal to p. In this paper, we prove that if the Hughes subgroup of G is cyclic, then G has exponent p or is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e4a1db9a59b50c1d3fbfbcb8b18e8b1
https://doi.org/10.1017/s000497272300031x
https://doi.org/10.1017/s000497272300031x
Autor:
Shawn T. Burkett, Mark L. Lewis
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 65:990-1010
In this paper, we study the supercharacter theories of elementary abelian $p$-groups of order $p^{2}$. We show that the supercharacter theories that arise from the direct product construction and the $\ast$-product construction can be obtained from a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da4f92fee436e5e9fa6208af866c0973
https://doi.org/10.1017/s0013091522000438
https://doi.org/10.1017/s0013091522000438
Publikováno v:
Algebra Colloquium. 28:555-560
For a group [Formula: see text], we produce upper and lower bounds for the sum of the entries of the Brauer character table of [Formula: see text] and the projective indecomposable character table of [Formula: see text]. When [Formula: see text] is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97890eed9120e7c46024751b81223473
https://doi.org/10.1142/s1005386721000432
https://doi.org/10.1142/s1005386721000432
Autor:
Mark L. Lewis
Publikováno v:
Vietnam Journal of Mathematics.
We consider a finite group $G$ with a normal subgroup $N$ so that all elements of $G \setminus N$ have prime power order. We prove that if there is a prime $p$ so that all the elements in $G \setminus N$ have $p$-power order, then either $G$ is a $p$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d5536d2bbd6d288134c3feacd03ab8b
https://doi.org/10.1007/s10013-022-00591-2
https://doi.org/10.1007/s10013-022-00591-2
In this paper, we set η ( G ) \eta(G) to be the number of conjugacy classes of maximal cyclic subgroups of a finite group 𝐺. We compute η ( G ) \eta(G) for all metacyclic 𝑝-groups. We show that if 𝐺 is a metacyclic 𝑝-group of or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec7ea07f94bcb0a8562dfe123b106ad1
http://arxiv.org/abs/2206.04339
http://arxiv.org/abs/2206.04339
Autor:
Jamie D. Pearce, Nicolas F. Beike, Rachel Carleton, Mark L. Lewis, Colin Heath, Kaiwen Lu, David G. Costanzo
Publikováno v:
Bulletin of the Australian Mathematical Society. 105:92-100
Morgan and Parker proved that if G is a group with ${\textbf{Z}(G)} = 1$ , then the connected components of the commuting graph of G have diameter at most $10$ . Parker proved that if, in addition, G is solvable, then the commuting graph of G is disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6b987b00495c52c2ee772b2da06c1dc
https://doi.org/10.1017/s0004972721000332
https://doi.org/10.1017/s0004972721000332