Academic Journal
ON THE ORDERS OF ZEROS OF STRONGLY MONOLITHIC CHARACTERS.
| Τίτλος: | ON THE ORDERS OF ZEROS OF STRONGLY MONOLITHIC CHARACTERS. |
|---|---|
| Συγγραφείς: | AKAR, GAMZE1 (AUTHOR), ERKOÇ, TEMHA2 (AUTHOR) erkoct@istanbul.edu.tr |
| Πηγή: | Bulletin of the Australian Mathematical Society. Jun2026, Vol. 113 Issue 3, p475-482. 8p. |
| Θεματικοί όροι: | *Finite groups, *Representations of groups (Algebra), *Group products (Mathematics), *Prime numbers |
| Περίληψη: | Let G be a finite group and p be a prime number. An element g of G is called an upper S upper M Superscript asterisk $\mathrm {SM}^*$ S M ∗ -vanishing element of G if there exists a strongly monolithic character chi $\chi $ χ of G satisfying upper Z left parenthesis chi right parenthesis equals backslash kernel chi $Z(\chi)=\ker \chi $ Z (χ) = \ker χ and chi left parenthesis g right parenthesis equals 0 $\chi (g)=0$ χ (g) = 0 . In this paper, we present some results on the relationship between the orders of upper S upper M Superscript asterisk $\mathrm {SM}^*$ S M ∗ -vanishing elements of G and the structure of G. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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