Results 121 to 130 of about 301 (137)

ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES

International Journal of Algebra and Computation, 2013
In this paper, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type. In fact, we show that every finite group G with the property Φ(G) ∩ Z(G) = 1 and N(G) = N(Dn(q)) is isomorphic to Z(G) × Dn(q), where n ≥ 5 and n ≠ 8. Note that N(G), Φ(G) and Z(G) are the set of lengths of conjugacy classes of G, Frattini subgroup of ...
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ON -PARTS OF CONJUGACY CLASS SIZES OF FINITE GROUPS

Bulletin of the Australian Mathematical Society, 2018
Let $G$ be a finite group. Let $\operatorname{cl}(G)$ be the set of conjugacy classes of $G$ and let $\operatorname{ecl}_{p}(G)$ be the largest integer such that $p^{\operatorname{ecl}_{p}(G)}$ divides $|C|$ for some $C\in \operatorname{cl}(G)$. We prove the following results. If $\operatorname{ecl}_{p}(G)=1$, then $|G:F(G)|_{p}\leq p^{4}$ if $p\geq 3$.
YONG YANG, GUOHUA QIAN
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A note on conjugacy class sizes of finite groups

Mathematical Notes, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON CONJUGACY CLASS SIZES AND CHARACTER DEGREES OF FINITE GROUPS

Journal of Algebra and Its Applications, 2013
Let p be a fixed prime, G a finite group and P a Sylow p-subgroup of G. The main results of this paper are as follows: (1) If gcd (p-1, |G|) = 1 and p2 does not divide |xG| for any p′-element x of prime power order, then G is a solvable p-nilpotent group and a Sylow p-subgroup of G/Op(G) is elementary abelian. (2) Suppose that G is p-solvable. If pp-
Qian, Guohua, Wang, Yanming
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On a Finite Group with Restriction on Set of Conjugacy Classes Size

Bulletin of the Malaysian Mathematical Sciences Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on conjugacy class sizes of finite groups.

2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Bianchi, A. Gillio, C. Casolo
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Determining group structure by set of conjugacy class sizes

Communications in Algebra, 2020
Changguo Shao
exaly  

On conjugacy class sizes of primary and biprimary elements of a finite group

Science China Mathematics, 2013
Changguo Shao, Qinhui Jiang, Shao Changguo   +2 more
exaly  

Structure of finite groups with four conjugacy class sizes of certain elements

Communications in Algebra, 2018
Changguo Shao
exaly  

Conjugacy classes of small size in solvable groups

Communications in Algebra, 2023
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