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Year 2019, , 41 - 52, 11.07.2019
https://doi.org/10.24330/ieja.586920

Abstract

References

  • A. A. Bovdi and I. I. Hripta, Normal subgroups of the multiplicative group of a ring, Mat. Sb. (N.S.), 87(129) (1972), 338-350.
  • A. A. Bovdi and S. V. Mihovski, Conjugacy classes in group algebras of p-groups, C. R. Acad. Bulgare Sci., 56(1) (2003), 5-8.
  • A. A. Bovdi and C. Polcino Milies, Conjugacy classes of the group of units in group algebras of finite p-groups, Euroconference on Algebra and Represen- tation Theory (Constantza, 2000), An. Stiint. Univ. Ovidius Constanta Ser. Mat., 8(2) (2000), 1-12.
  • V. Bovdi and A. L. Rosa, On the order of the unitary subgroup of a modular group algebra, Comm. Algebra, 28(4) (2000), 1897-1905.
  • A. Bovdi, L. G. Kovacs and S. Mihovski, On the orders of conjugacy classes in group algebras of p-groups, J. Aust. Math. Soc., 77(2) (2004), 185-189.
  • D. B. Coleman, On the modular group ring of a p-group, Proc. Amer. Math. Soc., 15 (1964), 511{514.
  • M. A. Rao and R. Sandling, Vanishing orbit sums in group algebras of p-groups, Groups '93 Galway/St. Andrews, Vol. 2, London Math. Soc. Lecture Note Ser., Cambridge Univ. Press, Cambridge, 212 (1995), 507-511.

CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP

Year 2019, , 41 - 52, 11.07.2019
https://doi.org/10.24330/ieja.586920

Abstract

Let F be a finite fi eld of characteristic p > 0. In this article, we
obtain a relation between the class length of elements of a fi nite p-group G in
the normalized unit group V(FG) and its unitary subgroup V*(FG), when p
is an odd prime. We also provide the size of the conjugacy class of non-central
elements of a group G in V(FG); where either G is any finite p-group with
nilpotency class 2 or G is a p-group with nilpotency class 3 such that |G|<= p^5.

References

  • A. A. Bovdi and I. I. Hripta, Normal subgroups of the multiplicative group of a ring, Mat. Sb. (N.S.), 87(129) (1972), 338-350.
  • A. A. Bovdi and S. V. Mihovski, Conjugacy classes in group algebras of p-groups, C. R. Acad. Bulgare Sci., 56(1) (2003), 5-8.
  • A. A. Bovdi and C. Polcino Milies, Conjugacy classes of the group of units in group algebras of finite p-groups, Euroconference on Algebra and Represen- tation Theory (Constantza, 2000), An. Stiint. Univ. Ovidius Constanta Ser. Mat., 8(2) (2000), 1-12.
  • V. Bovdi and A. L. Rosa, On the order of the unitary subgroup of a modular group algebra, Comm. Algebra, 28(4) (2000), 1897-1905.
  • A. Bovdi, L. G. Kovacs and S. Mihovski, On the orders of conjugacy classes in group algebras of p-groups, J. Aust. Math. Soc., 77(2) (2004), 185-189.
  • D. B. Coleman, On the modular group ring of a p-group, Proc. Amer. Math. Soc., 15 (1964), 511{514.
  • M. A. Rao and R. Sandling, Vanishing orbit sums in group algebras of p-groups, Groups '93 Galway/St. Andrews, Vol. 2, London Math. Soc. Lecture Note Ser., Cambridge Univ. Press, Cambridge, 212 (1995), 507-511.
There are 7 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Surinder Kaur This is me

Manju Khan This is me

Publication Date July 11, 2019
Published in Issue Year 2019

Cite

APA Kaur, S., & Khan, M. (2019). CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP. International Electronic Journal of Algebra, 26(26), 41-52. https://doi.org/10.24330/ieja.586920
AMA Kaur S, Khan M. CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP. IEJA. July 2019;26(26):41-52. doi:10.24330/ieja.586920
Chicago Kaur, Surinder, and Manju Khan. “CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP”. International Electronic Journal of Algebra 26, no. 26 (July 2019): 41-52. https://doi.org/10.24330/ieja.586920.
EndNote Kaur S, Khan M (July 1, 2019) CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP. International Electronic Journal of Algebra 26 26 41–52.
IEEE S. Kaur and M. Khan, “CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP”, IEJA, vol. 26, no. 26, pp. 41–52, 2019, doi: 10.24330/ieja.586920.
ISNAD Kaur, Surinder - Khan, Manju. “CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP”. International Electronic Journal of Algebra 26/26 (July 2019), 41-52. https://doi.org/10.24330/ieja.586920.
JAMA Kaur S, Khan M. CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP. IEJA. 2019;26:41–52.
MLA Kaur, Surinder and Manju Khan. “CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP”. International Electronic Journal of Algebra, vol. 26, no. 26, 2019, pp. 41-52, doi:10.24330/ieja.586920.
Vancouver Kaur S, Khan M. CLASS LENGTH OF ELEMENTS OF GROUP IN THE NORMALIZED UNIT GROUP. IEJA. 2019;26(26):41-52.