On the order of the unitary subgroup of a modular group algebra

By Victor Bovdi, A.L. Rosa. 2000

51 citations recorded by the source corpus.

Let KG be a group algebra of a finite p-group G over a finite field Kof characteristic p. We compute the order of the unitary subgroup of the group of units when G is either an extraspecial 2-group or the central product of such a group with a cyclic group of order 4 or G has an abelian subgroup A of index 2 and an element b such that b inverts each element of A.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/e8d881c22a03bce044ddd408ce5402ab0ac48656

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In Artificial Intelligence

1. Florentin Smarandache
2. Philippe Smets

Citations in the corpus

• Neutrosophic Rings (2006, background): “95 contained in the S-semigroup neutrosophic ring 〈Z12 ∪ I〉 [S(8)] as Z12 ⊆ 〈Z12 ∪ I〉 and S8 ⊆ S(8) is the symmetric group of degree 8.”