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ON THE ORDERS OF ZEROS OF STRONGLY MONOLITHIC CHARACTERS.

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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]
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  Data: ON THE ORDERS OF ZEROS OF STRONGLY MONOLITHIC CHARACTERS.
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  Data: <searchLink fieldCode="JN" term="%22Bulletin+of+the+Australian+Mathematical+Society%22">Bulletin of the Australian Mathematical Society</searchLink>. Jun2026, Vol. 113 Issue 3, p475-482. 8p.
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  Data: *<searchLink fieldCode="DE" term="%22Finite+groups%22">Finite groups</searchLink><br />*<searchLink fieldCode="DE" term="%22Representations+of+groups+%28Algebra%29%22">Representations of groups (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Group+products+%28Mathematics%29%22">Group products (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Prime+numbers%22">Prime numbers</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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]
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        Value: 10.1017/S0004972725100622
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 475
    Subjects:
      – SubjectFull: Finite groups
        Type: general
      – SubjectFull: Representations of groups (Algebra)
        Type: general
      – SubjectFull: Group products (Mathematics)
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      – SubjectFull: Prime numbers
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      – TitleFull: ON THE ORDERS OF ZEROS OF STRONGLY MONOLITHIC CHARACTERS.
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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